{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Similarity Based Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Index Based"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Resource Allocation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 2, 0.5), (2, 5, 0.5), (3, 4, 0.5)]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "edges = [[1,3],[2,3],[2,4],[4,5],[5,6],[5,7]]\n",
    "G = nx.from_edgelist(edges)\n",
    "preds = nx.resource_allocation_index(G,[(1,2),(2,5),(3,4)])\n",
    "print(list(preds))\n",
    "draw_graph(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jaccard Coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 2, 0.5), (2, 5, 0.25), (3, 4, 0.3333333333333333)]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "edges = [[1,3],[2,3],[2,4],[4,5],[5,6],[5,7]]\n",
    "G = nx.from_edgelist(edges)\n",
    "preds = nx.jaccard_coefficient(G,[(1,2),(2,5),(3,4)])\n",
    "print(list(preds))\n",
    "draw_graph(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Community Based"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Community Common Neighbor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 2, 2), (2, 5, 1), (3, 4, 1)]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "edges = [[1,3],[2,3],[2,4],[4,5],[5,6],[5,7]]\n",
    "G = nx.from_edgelist(edges)\n",
    "\n",
    "G.nodes[1][\"community\"] = 0\n",
    "G.nodes[2][\"community\"] = 0\n",
    "G.nodes[3][\"community\"] = 0\n",
    "\n",
    "G.nodes[4][\"community\"] = 1\n",
    "G.nodes[5][\"community\"] = 1\n",
    "G.nodes[6][\"community\"] = 1\n",
    "G.nodes[7][\"community\"] = 1\n",
    "preds = nx.cn_soundarajan_hopcroft(G,[(1,2),(2,5),(3,4)])\n",
    "print(list(preds))\n",
    "draw_graph(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Community Common Neighbor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 2, 0.5), (2, 5, 0), (3, 4, 0)]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "edges = [[1,3],[2,3],[2,4],[4,5],[5,6],[5,7]]\n",
    "G = nx.from_edgelist(edges)\n",
    "\n",
    "G.nodes[1][\"community\"] = 0\n",
    "G.nodes[2][\"community\"] = 0\n",
    "G.nodes[3][\"community\"] = 0\n",
    "\n",
    "G.nodes[4][\"community\"] = 1\n",
    "G.nodes[5][\"community\"] = 1\n",
    "G.nodes[6][\"community\"] = 1\n",
    "G.nodes[7][\"community\"] = 1\n",
    "preds = nx.ra_index_soundarajan_hopcroft(G,[(1,2),(2,5),(3,4)])\n",
    "print(list(preds))\n",
    "draw_graph(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Embedding based"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAEuCAYAAADx63eqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOyddZgV1f/HXzNz+24323R3Skgjohh0KUqoYCBiwE8UVFQUFVS+KIKKSokiiiiiNEooSnfusgvbezdvz/n9MbsXVsBAVIT7ep77wE6cOXMm3nPO+YQkhBD48ePHjx8/1wjyv10BP378+PHj55/EL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eawi98fvz48ePnmsIvfH78+PHj55rCL3x+/Pjx4+eaQvdvV8CPHz9/Dx6vSlq+HadHxaiTiQ81o1P837p+/PiFz881z9UkEPklLj7efopPf0njZE4xOkVGQkIg8HhVkiMC6NMkngHNEwixGP7t6vrx868gCSHEv10JP37+ac4ViJTcEvSKjCxJqELg9qokhVv/UwLh8qi8vuYwczYdxysEXvXi2yoyKJLEyHZVGNO5Bgbdf1Pk/fi5VPzC5+eaolwg5n5/AkkCh/viCmHSywgBI9pWvqIFIt1mZ9CcLaTl2/H+iadZkSA+1MzCkdcRF2L++yrox88Vhl/4/FwzpNvsDJ67lcxCB/bfELxfY9LLxASZWDCi1RUnEOk2Oz3e2ESB3X3JZQSb9Xz9ULvfPberaUjYz7WNX/j8XBOk2+z0nPk9BaVuvJdwy0tAqNXAlw+0vWLEz+VR6fTqOtJsjr9cVkKIibWPdkT/KyH7rw4J+0Xaz2/hFz4/Vz0uj0q3GRs4lWe/JNE7l4RQM2vHdThPIP4Npq48wOyNx7lcD/Dg5gk8c2s9dIr8nxwS/q+KtJ9/Hr/w+bnqmbbqIO/9cOJPDW/+FkOvS+KZW+pdlrJmzpzJvHnz2LNnDwMHDmTevHkAuFwuBg0axPbt20lJSWHdunV06NDBt9/zL01j8tRX8ZYWIhvMWGq1I7TTMCRZ8W1T+NMXFG5fjlpqQwmKJKr3U+jD4gAo2bee/A0foNoLMSU3JrzHGBRzIDoZ4kItFNrd2DJSODn7fqy12hDR81FfuRfb16yXif4XhoT/iyLt59/FL3x+/nM4nU5Gjx7N6tWrycvLo2rVqrz44ovceOON7N+/nzvvvJNjx44B0LBRY07W7A+h8QAUbFtKyZ41eAqzkc1BBDbpQXDL3r6yXZnHyfvubVzZJ5ENZgIadSekzUDfetXtwLb2PfQp2/B43DRs2JCNGzcCIIRg/PjxzJ07F4ARI0YwdepUJEm66Ll89tlnyLLMqlWrmDt3Lkaj0beutLSU22+/nc2bNzN9+nQGDhyI1WrV6unxYm7Sk9D2Q/Hai8he9iKWas2x1u/C6XfuRTZZkXRGIm59HEln4PTbI5D0RkACoSKESnT/KRhiqpL95au4zxxGeFxIeiPBrfsT2LgHmYufQnic6IKjiOj5KMV71pD71XRQ9ET3fw5DTFVyv5kJQiXy1icAzVo02KL/x4aEL3Xe9t8SaT9XBv7PHT//OTweDwkJCWzYsIGCggKmTJlCv379OHnyJLGxsXz66afk5eWRk5NDVP22nFk29ezOQhB+8yMkPLyY6H7PUPTzCkr2b/Ctzlk+DWNCPRLGLCJ60FSKf/ma0iPbfOvzvpmJ11FE+yc/Ii8vj+nTp/vWvfPOO3z++efs2rWL3bt38+WXXzJ79uzfPJdevXpx2223ER4ezuDBgykuLqa4uJiMjAwsFgtjxoxBUc724mw2G3m2QuIf+ZTQ9kPLTwpJknDnn8G2/n304fF4CrMJ7TwCQ0QiEprwJoxdQuK4TwlsfiuWmm0wJdZDNphRS/LxFucTe887RPWZhG3Dh+Rv/AjZZMWU1BAAr6OYgi2fIJuDMERV9u0b0m4IpYe2oDpLte2EoKDUzZC5W3H/lk/FZaB83jY1t/RP9+btbpVTedr+6Tb731RDP1cqfuHz859h5syZNGvWjLCwME6ePElycjKyLNOtWzdkWaZ58+aEhoZy8uRJJElCCMGu9EJcuelkLJxA6vR+FP3yNcaYakiygj48Hkv1VuStfY9Trw8i9bW+uHPTUKyh2vrQShjj61Cybz1ps+4m5ZXbKTmwiZD2d7EjW6XI6SU8PJwePXoQGhrKgw8+SGxsLDExMcTFxTFu3Djf0OWHH36IJEm+3uDvsXTpUqKiomjXrt1566Z/dwhVaEOOqa/1Je31QbiyTmCsVANXdgrm6i3B68GdnULa/+7izAKtNyaEJg7u7FQMUZUBUF12XKcPgc6ApzALQ3QVzNVaUrR9OaGdRviOaVs/j6BmPUEIlMAI33J9aCUkRYc7/7RvmVcIMgqdvL7myJ+7wL/C41U5mVPCoYwiTuaU4DlHSF0elUFztpBX4uJS5fWfFGk/Vxb+yC1+/jPExsYyceJEVq1ahd1+9is9MzOT0tJSZs2axaOPanNRISEhFBcX4/WqBDS6AWN8HYSnPQWbl/j2E0LgOLWPgAZdCGk7CElWyFkxnfy172ri4XHhOLUP1WUnut8zuPPSyF/3PllLnkK1F1P34xiiQ6w0aNCAM2fOEBUVRWpqKrNmzeKhhx6iYcOG7Nu3j/z8fF544QXq1q0LXHxeT1VV+vTp45vXGzp06HnDpCaTCa/Xi6QzYKnbiYSHF+OxZVC8ZzV5372FEEITMqDgh8XE3TcHV1YKmQuf4NQrvaFM/FxZJwhoeINvTlAymMj69DnU4lztQIoeJTAcAG9pIe6cvZQe/wXVUYT98Gby1r1PWMe7tXZUvWR89JivLOH1oA+PY454ixFtK/sMSTZs2ECHDh148sknmTJlCqANW48fP56PP/4Yu91Orz79aDJgLMt2Z5KSW4JOlpAkCVUVeFTNQKVv0wRO5BSTmvfXe2rnivSj3Wr+5fL8/Dfw9/j8/Gc4d1iwHLfbzd13382wYcMYPHiwb1jQZrOx+9hpom8cjblaSwLqdUIXElOhvILvF4JQCWk9wPfSNsbXBtXD6bdHcHrOfejCYrHUaIUpsR5qaSHCWYIn7wyxI98motsodu7cSatWrTCZTJSUlNC+fXv27dsHQHBwMMXFxYwfP56HHnqIiAitp1Qu4MOGDTvvHNu2bcsrr7wCwA033OBbHhwczLJly3hx6RYSHvwIU3IjSg99T9H25ejD4vAW5iAZrUTc9Ajm2lovUXWWoHpcGGKqYKlzPQiV4HZ3ABJqqY28b2chGy3aR0FpAaq9iJCOwwAJvG5s3y9ACBVn+kG8pQVE3PQwSBIoeop/+QqhegGQFB0xd0wjcdynJI77FGNcLSw12yJJ8PH2U77rNGbMGFq2bOk7p5kzZ1K5cmVef/112l1/PQ+9/RULV27gqUmT2DL7/zjx5t0cfK4HeUd24PCoeFQ4ll3ChGeeZ/p9t5DyWl/S3hpOwbalFdrQkXaAMx+MJfW1vpx+9wEcp/ZVWF/eg099tTdZS6dQXGhjzqbjZOYXMXz4cJKSkggMDKRRo0asXLnSt5/L5aJPnz4kJycjSRLr16+/+M3q54rG3+Pz859FVVXuuOMODAYDM2fOPG+9YjQT3rwHB18egHHkWxXWFf78JcV71xIz+CUknZ6sT57BfmIHqB70EUnE3D0DtaSA0+/ej2IOAkDSGUDWgazgKcyiJLY6devW5d133+XOO+/EarWyfv16Xn31Ve0YhYVYLBZ+/vln3nrrLZYs0XqbvXr1AmD79u2kpaUBsG/fPtauXcvSpUsxGo3odDoqVarEkiVLyMzMpFevXlSuXBm55SDkmMaEdLiLM3NHU7RnLQVbl6KW2gAo2bsGc7UW2A9sAqGS++WrONL2g9cNSBT8sAgQCI+L0gObSDmwCcrmAPG6sK1772wb/bC4QptlffwUCAGqF+F1kzpjALLBgvC4yP3qdTz5p9GFxODOSSXiprE43CpP3juIcaf24Xa7EULg9Xo5fvw4U6ZMITY2FovFQrsOndhw1MauvTYCmvQkb937BLfsRWCzW8n5fCrnUTZPa4iqjCf/DJkfP4UuMAJrnfaaoc+nzxLW/X4sNa6jZP9Gsj99lthR76KYAnBlp5C76n9E9ZnkM87J+3YW1j4T+PjHk76548TERL7++mv69evHnj17SE5OBrQPk4cffpi+ffv+0dvUzxWIv8fn5z+JEILhw4eTmZnJ0qVL0ev1521j1Ml4vCrC48RblOtbXrzrWwq3fkr0wOfRBWm9sKi+k4gePBVJbyKgQRdkRY8uKALFEoTHdgYAfVQyALLRgnCWolNkAoJDycjIICgoiKKiImJiYrjtttsA2LFjB5IkMXPmTGT5wo+aqqosX/4lq9esoUHTFmw/cJLg4GAsFgunT59m4MCBCCFwu91ERkWx78PJpLzahzNzRwPgyT7hEz0A+7GfyFv1P9/fjpRd4PVof0gyxsR6SOZA33olIhHKPAElvYlK985BNgeCrswCVDqn3kJof5cNl+JxoxbngSQTUL8zCQ8vLtNQQfrc0aS+2oe8Y7t55505JCUlkZeXR2RkJLVr1wa0DwBrYBC7MhyUOD04PAKBQC3OJaB+F0wJdeEC7Rbcqs9587TOtAMAONMPoASEYq3VFklWCKjXEdkSTOmhzQCU7F+PuVqL84xzSouL+XJ/HpMnT/bNHd98881UrlyZn3/+GQCDwcDDDz9M27ZtKxgc+fnv4Rc+P/9Jtm7dyoEDB/jyyy8xm8+aozscDo4cOYLX6yVIcZO56h1kUwD6iARAc0fI3/gh0f2noP/V0KchIhFkheI9ayg5vBVvcT7e0iLksh6fKaEeuqBIVEcR6I04Tu1j2+bv6d27NyUlJUybNo09e/YwevRoTp8+zVNPPUWDBg1o1arVefXPL3Hxc0o+y9Zs5tZbb6G4qIjv162mTlIUJ1NP4UDHyPtGo6oqXq8Xr9fLxg0bQGci6vbxKAFhWkFlc4CyNQxznQ4AhHQaXiZcZZsYy9pHkvEUZoPbiRIUCZKENyfVt50QgtL9GzSB8zjh167xQj0repKsHVuWwesmoOnNSDo93hIbSApRvf6PxHGfUmvCMt7/aAHPPfccOTk5ZGVlUb9+fUAzULGF16E47SClx7eTMu12cle8BsCZeWN8dSret04bmnytL9lfvOSzIC1f7zi1DyU4ilOvDyJ/3fta/QHhdZO97AU8BZnkrXwDR8ruCoY9jpTd5K58A1QP6e/cy8ncigY0K1asYO/evdx55500aNCA77///rzr6Oe/iV/4/PznKCgo4PDhw+zcuZOYmBgCAgIICAhgwYIFCCF47rnnCA4OpmaN6ijFWUT1e0YbpgSEoxjVXqTNAb3ah9RX+2i+aGg9ucjb/w9PQSY5X7zE6fcfRBcciWwJBrS5rNBu94HXQ9bC/+PM8hkIIXjmmWcwGo2MGzeOLl26MGfOHOrVq0dAQAD79+8nJiaGmJgYNm/ezLhx42hzy2BavriarcdzUUOTQNYR0n4oupBKSHojupAYPCoE3fwY5sR6DJ30P27ueQsGoxFcJeR8NQNTUkOC2w1BMpgBidBOw/AWZKAEhqOYAkF4QVaQLcGEdhyuNZzqxpuXrvnr6QyAhCG2lk888TixH/uJqP7P+Xp65qrNfesjej+FIbYmSAqSoiP8pjFIit7Xro5T+1CdpUgGE+7sFACKD22lqKiI/v378+GHHxIVFUVISAgAr685jLFZbxRrKGppIbLBRMj1d4CsI/bed7RyPU4cJ3YQM+Rl4h/4EOF2kffd22fvhbJ5WndOKvrwBGSDGU9xHiX7NyC8HlD0oHqRyj4EhNuObLRo11NvJKBBVySjBRDoFZm0fM1gJjMzk9tvv53OnTtTWFjIuEcf5aabe/LjwVRO5pRcxrvZz7+Bf47vKuZqi1fo8XjweDwEBAQwZMgQ5syZg06nQ6fT4XQ6EULwxBNPMHfuXK6//nqMRiNvrT/GS6sOIDwu8HpQAsOJu2c2SBKSosedewqPLRPV7USSFbzFeQiPm5g7X8EYUw1XdgoZHz2K49ReDNHVKN23DkvtdkTe+gR6RcK78AHeeustHn30UYqLiwHo168fCxcuxGaz4XCcjaN58y23kR/dmNPVOiK8AhW0eqkeSg/9QPSQl5BkheylU7R6IGOu24kPXxiH8DiRJZnIPpOwVGsOQNHu1QiPBxDkrngNyWDGlFiPgAZdyP3mTVC9yAYzed+cnf+Mf2ghp997AF14Ap68dPQRibhOHwYExuRGxAzQrC21np2EMakh9qOaH2PO0ufKSpEQHi+5yzUjHF1IDIo1BNvGDzHEVMN1+hD5Gz8if917yOYg8hRBTEwMWVlZCCF4/vnnmTN3LoFD3sCjt2Kq0hRPYTZKQDi27xeCBKX7N2Kt2wHhcWOu1Q5dUGRZtbyU7F1LYIvbcZ7aS/HetUg6IyV71oCigOpFCQin8MfPyfv2LfRRVbT9PE4yl0zS2sQcRGDjHhhja2KMrUnuNzORdEZkScLpUVFVlb59+2I0Grlt/Jvc8Mb3pORG4FCs3P74dIIb30BGoYNxn+xkpJTgD4H2H8QvfFcZV3O8wilTpvDMM8/4/p4/fz6TJk1i8uTJ1KxZk5QUrZdRbg154sQJBrVM5Nk5n5C56P98+6W+0gtjQj1iBk8FAbbvF+LOPQWSjD40lshbH8cYUw0AQ2QS4TfcT86Xr2ohupIaEX7TwwAkh1uZ9tlnPPzww7z00ksoikKnTp18Tu3lPRvQnK0PZtsxRugJ0JvA49J6ImWdrYAmN6ELCEN43AQ2vZmcFa/hPH2Iwm1LiRr4AqVHtuI69iO5X89A1/85UHTkr5kDqgfJEkJo+zsp3rUKx8mdeIrzocziUh9VmZi7XidtRn8Aspc9DwKcKbuQTQG4bZmACrIO1+lDuPLSKd71rbZvTLUyYxiN8FseRR9RmcyPNCEO6TScgo0fIelNqG4nJQe/J6zbKPJtZ1BLC0GSUO1FtOvenR49buShhx6idevWFBQUcPDQYbKmD8IQXRVjbE1UZymqo1irtySR8+UrFO38Rhu2LBtxdZzahztHu8YZ72tDoWE3jyX/m/8R0OQmin9ZoR3TUYzqKCaoVW+MsbXIOrX37E0kSZQe2kzKS7dgrtKU0K73gteDpOhQhcCgSNx99zAOn8rAZQrlzQ0nfCHQVKFSdOYE+rpa26bn25mx5jDTVx/2h0D7j+EPWXaV4I9XeHEGztnCluN5l7VMk17mkS41uOf6qr+77a+zKNg2LaggKADm6q2I6j2RtFnD8BZmVVgXd9+7FO3+ltL9G/EUZWtO5AHhCJcd1VUKQkXSmxFuu29+qwJ6I7idF6ybZLQiXHZ0kcngtuPJP3POSq1XLDwu39/IOkAg6YxE3j6BnOXTUB3FBLcdTPHOlcSNeo/UGf0xRCRhTm6E58R2nFknqFy5Mm63G1mWMZlMWLo+yPbX7ye4490U/LAQXHYwmJEMFkJa9SZ/zbsowVF4C7NQLCFE9X+WjE8mI0ps4HUjGSxE9p6IM3UPRTtXEdisJwUbPsAYV5uwrvehj0wqszadQenRH1GswUTcPA7ZEkzGR48i6U2EtB2MM20vnqIcPLYsKj/4Pi3Sl/Ll2i2E9nycU3MfIPyG0VhqtqFk/wZyv5pBQIOuhHW7j/TZIwnvMQZTQj1Q9FgMij8E2n8Iv/BdBVxqvEKdLBEbYmbRyKv7Yc0uctD8hTWXtUyjTmbbhM5/qNf8e1kUbBvnYz/+M1F9J4GiI/vTZzEl1seU3IjsZS8SPWAKJYd+wJV5Alf6ASJufQxz5Sbkb/gQx8mduAsyCes6ipI93+E4sYPYe94m54uXUR3FGBPqE9JmAOlvDwe9CUNEArI1DMfxX0B1a2JW9gowV29JUMs+ZM5/TKuY3ogkK4gyY5KIW8djTKhD3qpZSIqegPqdyflmJmpxHta6HQnv/gCFPy/HtuFDYu95m5I9awnK2s2ZE4dQVZVevXqxatUqTqak0vLVzRx98RZfz7QcQ1wtKt3xCikv33reOpCw1GpL6cFNZf6EBq3nDCArWu/XYMYQUx1X5lGtvOiqOE/tB1RkSwjW2teDoqNo22dIOgOm5EZY63cmf81cmj0wg20vDAJFr523qoLqRtIZMVdrgWovwnnmMMJZcY4v7r530YVE/+NxSv1cOn7h+4/zV/PMgRawd+VD15McYb3MtbtyePqLPXy4NfX3N/wDmPUKw9tWJj5vB8888wypqanExMQwb9482rVrx5IlS5g0aRJpaWnExsVjq9cbc/XrACjes4ai7ctx559GNlqw1mlPcNvB5K99VzPIcDu1+TVFjyRJ2tyT0YynMAdJ0WGu1hxn+kFUeyHGhPoolmBK9q1FUgxIeiNCqEhCIISKAC2MWcZR7WWt6EGWkSQFZBnhKD7/5BQ9usBwPLYMrTxVLfMBROuRSRK64BjcWccr7CbpjZqAyjostdsgyXqKd36jBQgICaG0tJQBAwbwyy+/0KJNez748CO8zhKCW/fHlNSA7M+nEtVnEvmr3yHitvFkLp6ItzCbgIbdCGpxOxkLJuAtysZatyMle1YjWYIxxlTDkbIbWW8CCVR7ka8+purXEXHjA6CqeB1FZC1+ipCOd1O8YyXeUhvG2FpE3DwWAPvJneStfIP4Ue9d9ONEqF7S3x5BePcHMFdpetF7Q5EkEsPMfDu2/RWRusrPhfHP8f2HcXlUBs/d+pdED7SAvV2mb2DNI+1JCr86xW/iTXVZezDrLydtVSSJmCAjddWT3PHAAwQEBADg9XrJzs4mPT2dQYMGERsbC0BWXgG2ZS8Rf/88FGsIjtS9eEsL0AxEXBTv+hZJZyT8htGEdR5J2lt3g9eLUD3oQmLQRyRqLgaAUD2UHthUZskJjhM/nzXd9zgRHieWGq0Jv2kMZ+Y9jCc/A1f6ASSdgcCWvQjpcPcFM0VkLBiPtV5HAhvecN46R8pucla8Svz9H2h/p+4h77vZSAaz5kcXmUxIuyGYEuvhyjxO5uInKT38I3gc6IxmEipFMXToULZv305mZiZ79+6l/Q03U/2R+Rx8qQ+FWz9FCYpGtZegC4xADgwn/X9lwbf1JgKb9iT36zcJbHoztrVzKT2gZcKI6vM0+avf0bJnXNcP1W2n6JevcabtA1nBW5BBzpevENX7aWSTFSRQLEEEt+5H1pJJhN9wvxa71OsBrwchBKrH5RveBXBlHPMNmdo2zUcXGPGbogf+EGj/Ffw9vv8wlzvPnEkvs+aRDlftME26zc7Nb24iv9R9SfufO5TVtXVTMjMz+eqrr2jRogVnzmhzY7/88gu33HILX3/9Nd27d6f6nc9zbP5TPmtMT2E2ks6AYglGddnJXDAer6OI+FHvobocnJ47ioDGPQhu1Rv7se3kLJ9G7LCZ6EKiyV4+jdJDm6l01wz0YbHkfDWD0v0bSBi7BNloIX3OfYR1Go4r8zj247/gyjyGtW4Hwrs/cDmb8aIU/vQFto0f+oTZhBvV68VqtdK4cWPy8vLYs2cP+1Oz6TZlKSfeuhdTUgMMlWpSuHmRzzfQEFUZSW8G4UV1lmoGLeWvKUUPXjeyOQhrnQ44Tu0ldtgbABTvXk3x7m+RDGaMcbUp2DS/wlDuuUh6kxZyzVvxXig3enJmHCXr46dR7YUA6KOqEN3/WYTHxemy4AHlCLeD0I7DCGqpReQp2bce24YPMHhK6Nq1K++99x5hYWEV9jly5Aj169enT58+zJ8//683vp8/hb/H9x/g1w/JunXruP+BBzl07KQWjSOhLmHd7kNXFjW/5MAmirZ/gSvzBIZK1TXrxXMQqhfb9wsp2f0dqsuOLqQSMYNewEEAne6ZxNGlr1ZwCl+xYkWFJKhXAuWuGqUuD3klLsKsRiwG5TddNuJCzKx4sB2D524lo8COw/PHv/nMeoWYICPzR7QiJtDAwYMHuf322xkyZAgOh4PbbruNadOmER4ejl6vx+1243J7KCx1aL2IMj/CcrP8crylBUiK9hjKBhO64GiKflxG0Y/L0IfFoZiDcWYcRRcSjev0IQzRVTFEJgEQ2nEYpfs3YE/ZjbVGK4Ka3UrRzlW4c08R3Lo/uV+/jrlyk0tp3ksioNEN2hwa0K9ZPNKeFZw8eRKTyQTADz/8gBCCUINK9vqPsNS8DuF2opgDsNRuh/34z4Tf8ABKUARZn0wmqu8zZM5/jEoj3kIxBXBm3hiCWvUlf/Vsovo8jbsgE0fqbuzHf8aUWB9rvY6gKOR9M5Pg1gMo2DSfiFsnYKxUDdXtIHPBeFSvG31IDLHD3vTVu3j3ago2Lyb23jlIkoS3tICsJZMI7TISa822CK8bb1EuijUEgMRxn/r2ddsyOD37Hiw12wD4QqLFD5jMuIHd2fbhVEaPHs3ixRXDv91///00b97877wcfn4Df4/vP0C3bt2w2+0kJSUxf/58MjMzef/7Y8zbVYDd7sS26SPcuWlE9Xka0OYsVHsR7tw0HCm7zhO+/I0f4Uw7QMRND6MEReLOSUEfGoukM1C6dzXWExs5sffnf+NUf5NyV42Pt58iJbcEQcWPeQntAz8p3Er/Zhf3r/ozFrBmvYwqoE7eZlK3rWTvnj3ccsstfPrpp8TFxaHT6cjMzMTlcqGqKqtXr2b06NGkpKTgdrtRBYAAnRHFaMFSqx3mGq3IXvqcz2hEMloBgSEiCWuDrlq4LUVP0c6V5K9+B8kSAh4nwuNGH55A7HDtpZ2/Zg6FP30BsqJZXwoVSZK1ecLy2Sqd0Te8KdwOIm6bgLVWm796KS6Kt8SGNecAW956nOmvvsL333/Ptm3bWLRoETabjeHDhyNJEkHVmyHXvYGcL16i0tDXkC0hnHnvIbzFucgBoYRefyfeolyKfllB/AMfAmeNgFwZR4i5azr5q+dgqFSD0oM/4C3KAQSSOYjwG+6n9OD3eEryEI4S3DmpPr9EEFS6+w0M0VVwpOzG9sMinKf2IRnMJI79WGvXDR/gLcwhoHEP8te8gzs3DV1wNGHdRmlh1MrPtbSAzEX/hzvnFLLBjKlqM3TBUXgKspBkHaUHNmAy6LHb7VgsFgoLC1EUhcWLF/PZZ59Rp04dli1bxu7du/nuu+/o0qXL33Zd/FTEP/t6hVCea85oNHLXXXf5ls+fP5/9+/ezZ88eFixYwPr164mOjmZ1qhuHW6Vw+3KKdn6D/ehPpM28k7zVc7Sv39rtUALD8BRkcvrd+0l56RZsmxbgdRRT9NMXhN/4oGZBuPQ5sj5+mtRXemmO3CpkFDiwlbpIT0/n1ltvJSwsjPj4eN5+++0KdZYkCavV6oucMmLECP4OXB6VaasO0mrqGl759hAnckpQxfkjWAJQBZzIKWHaqoO0eGE101YdxOWpKGwGncxjN9Ri24TOjO1Sg+pRAegVCYtBIcCow2JQ0CsS1aMCGNulBtsmdOaOzo15qiyjgtutDY/p9Xo2bNjAk08+SXx8PJIksXPnTtLT07XYnGUhvSSDhUpDXqbS8P/hyjqBO+MoETeNRTJZMcTWIrLP0ySMWYS1fmds6+dp+0kSJXvXARBQvxMJY5egBIbjzj6BM+MYqtuJK60sC0TbQSQ8sgRZb0IJCCPx0c+I6D0RFD1BTW8icdynRPV5Gslg/t05qr+CBIRYDYSkbKByUiIzZswgOzubGTNmcMstt3DnnXeyc+dOmjZtStHxndjWvkvETWPRhyegmAOpNOx1LLXbgddD3up3sB/fTmSvJ33lB7cZgKFSdSSjlaxPnsEQXZXQ9ncS1mUkgc1vRTKYEY5i8r97G0nREXnzo8gGs2bxCcjmAAyxtTBEa07tkt6IpVpLEAJJb/Idx5l+CElvJHPBE7hz0zEm1MPaoCvZnz6L9xyDoKylU/AUZhPW5V7iH1pAcIteFUKihbTqTWFRMVarlY0bN6IoCoWFhTz99NO89tpr5OXlkZKSQqVKlf62a+LnwviHOq8QLpRrrrCwkGeeeYYRI0aQmprKokWa75fHq3L0+AlS5zyg9RpkmfAeYzBXb0n2shcp2r6coBa3AyDpjIR2uJuiHVp6FXfWSZAVSg/9QOGPywCw1utI0Y+f++rizDxGfGwMqstBw4YNSU9P5/Dhw3Ts2JGaNWvSsWNH37a7du2iWrVqf1u7lLtqZBQ4cHr++FymV4DXK5j7/XG+2nPmgv5VIRYD915flXuvr/q7UW7Ozahgs9kA6Nq1K0lJSUycOJGCggJeeeUV1q9fj8vlYvPmzdgscdzx8mIy5j9B0Z41hLTpjyRJ2FN249ryCdH9ngUhyPv2LSrd/TqBjbqTv/ZdXLmnKPpxmTYHZTCjC4xAkiQsNVtT9OMyspe9gHA7qVq1KkfOQGBcdTyF2aj2QqL6PYuk06MYLMh6E/Zj2wntOIzivWux1GyDbDDxd2DSy1QKMjF/RCfiXrx45oK6deuyZcsWbKUumk75Du85Hy+KOYjIWx676L6SoiP8htGE31Bxjs1SszWWmq2R9Ea8hTk+a02AmDumIVQvaW/egblaC998pwQEJNTCfuIX9JFJFeJ/eotycJ05hBIUSdzIt8hf9z72g9/7gl0HNuyG/cQvms+jqmKt3wlJ0WGIqVohJJosSaTl2wkODqaoSLM4feqppxg+fDjx8fF8/fXXNG7cmBMnTvzhdvZzefD3+K4QLpRr7qmnnmLEiBFMnjyZxMRE35BVWr4dS1gMiWM/Jn7MQkKuvwN9eDwgkCQJ9zlOyIo1BHPVZshlgYq9RTkIZwnuvHTiRr2n+YjtWevb3phYj0rD/0ezxz/CbreTl5fHjBkzaNiwIX369OG9986mrfm7KXfVSM0rxfEnRO9cnB5Bam4pPWd+T7rt4olLdYpMcoSVmjGBJEdYfzO0m9FoJCgoiO+++46srCzy8/NZsWIFsiz7sjDodDoSQi2a64DqpfiXFaS9PgjnmSM40/YRefv/YYytiVC9uMuyPzhS9yLcToq2LcNbnE9AwxvA5UAJCEOoXiRZB5JE+E1jibtvLu4SGwA5y18ha5HWM8pcOJ5Tbw4h+7PnUR1FuPPP4MpOpfTQDwTU63RJbfhbmPUyRp3MiLZV+HZs+z9sGBViMXBX6+TLXp8LIckKkk6Pai+kaMfXyBKEWg0IISjZuxZT5cYVt9cZMMTWQtYZkHQGgtsOxJl+ACG8vhikzvRDSLKCYgkmfdYwzswbiyN1D5Le7BNR2/YVNKoeT0ZGBj/++CM7d+5k9erVjB07lk8++QRFUYiLi/tH2sBPRfw9viuU8odkx44d561zelTkMhFUzIHIejMZH2mZx2VzEKGdhl+03HIji5A2A5H1RgxRlbHUbkfxL18B+DIWnCoL1vvII4/wzjvvMGHCBIQQ7N27t0J5119/Paqq0rp1a1577TVf3rK/Srmrhq3UVTZPdumogK3ExZC5Wy+bf9UDDzzAnDlzqFatGiaTCZ1Oh8VioWPHjqxZs4aePXuSn2/DIRmQFD2RvZ9EFxzNmY8eQ9iLyPpkMkII8LqQzcGozlJyV81E0ukpPfQ96M0Ijxtr/c7kLJ+mDccZrQQ07kHOl6+g2gsJtJgZMWIEb7/9NqvWrqdPr95gDMRRnIsktGudPHwGxaePYAwIpmOH9vycakOStA+CiyEBsgQDWyQSF2Lmsx3pnLxA+LvkcCt9m8bTr9mlhb97onttPvk5jUKH5y9ciT+OUFUozCQpzMLUXg3o/9w8vMV5GBPqUXrwB992hqjKCKHiyjhKyf4NGBMbAOC1ZSI8WgQcT0Em3uJcAlvcTmj7oZQe+oGspVMIqN8ZV9YJglrcTmz3e3i7T01uaNuMZ599lvT0dE6e1HL+5ebmYjQaSU1NRVUvj1W2nz+OX/iuUNavX8/JkydJTEwEoLi4GLvdzj333MO3m3egnjPBZa7eEr57i5g7X8N+dBuKNfSi5erL5h9+D6MlgGYtrmPZsmWoqsovv/zC0qVLiYw8a5W4YcMGWrVqRWlpKRMnTuTmm29m586d6HR//bZ6fc1hMgsdf1n0ylHhsvpXTZ48mfz8fBYuXIgsy/Tp04elS5fSqFEjpk6dyowZMxCApOgJaTfYZ11piq+D/cQvgEAxB2Cu0oygNgPJ+vRZDFGVKc1N05zXhYor6ziuM4cJ6Xg3QS1uo/TQZnK+eBlJ0SEbLQy4cxhvzXgZRVHo0bUzTz85np9++omPl3zCpytW8fCoEaydcifD+99K2wfu4Zl7WmMrLYvl+nMaJ3NL0MkSkiShqgKPqolZv2YJFcRsVIdqf0vAc4NOZvkDben06vrLdp3L8ZbYcKTswlytBZLOgPC4cKbsYsCdw3hnbHuOZ5dQuHsNlhqtkfXGCvta63chZ9kLhHYaRsG2Zbi/moFsDsIQXRUlUBuR8RbngiQT2nGYNtddpz0FW5agC6lE8e7vCGx8I15Jx9w3XqZ3796EhIQghODYsWNMnjyZwMBAhBCcPHmSbdu2Xd6T9/O7+IXvCuWee+5hwIABvr9feeUV/ve///Hyyy/z0/qVlGTlQXAlVHsR+WvnlgX7rYHHdoacVf8j6tbHtZBPQsu2LcryqOlDK2GMr0vBliWEdbkXjy2D0oNn84zZj23HEFMV2RjJ/Y9O4MFhg1BVlVGjRjFkyBD27dvn2/b66zXTdYPBwOuvv05QUBAHDhzw5Vv7PRRFOe9r94EHHuDZqa/y8svTyFn/IagekBWMsbUI634/hohE3DmnyP1mJs7TB32GCUHNbyWk3WAACn9eQf53s9HMXSRQdOB1E9pxGHNEH3YveonFC+bjdrsxmUwMGDCAN954g8DAwPMreRH0ej2zZs1i1qxZvmWfffaZ7xweeOABTuaU0GX6es4dpbXUbIPHlkHscC1jgvC4yVr6LEpgOBE9xyHd+oRv27xv3wJZR3CZf5i1VlsKNn9McOv+BNdpy/+N7VAhIaokSQgh0CkyA269kQG3pnPq1Ck2bFjPO+/MBv7cvOa5lA8FX26Sw618cl9r+r69+ZLFT6Is/qxZR34xWAwKqkdH3s6VWng1BHhc3H//A7w5aZS2k8dFwb6NRNw+4bzyzMkNCWk/lIJNCxBuJ+bkRoR2vZfMhRMIanGbtntRrubEXyEggIQuKNIX1DzbUUS97t14//33efLJJ9HpdMTExLB161bS0tJwOBx4vV5cLhf9+vXjiSee4IknnjivPn4uP/45visUi8Xiy+NWnnNOkiRCQkLIOHOGrCWTOPVaX06/ez9Iks/6Tagq7owjpL7Si7xVs3Cm7SP1lV64Th/ylR1x62N4CrI49fpAsj6ZTHDbQb51jpRdnH73Qfa/cCtPP/YQY8eOxWazsW3bNnJycmjRosVF61z+4v2jtGvXjjlz5iCEoKioCKvVSt++fZn+yRpyNy0k4uZHiB+7BEvNNqhuOzlfvIxQvWQtfQ7hcWGu1pLIPk+B6qF493cU7/4OT1EO+WvmEtV3EolPfElkn6fLXk4SlpptKD3+M5988glvvvkmaWlpNG3alA0bNvDYYxc3qgAtJVL5i8rr9eJwOPB4tCE6p9PpSz/kcrlwOBwIIYgPNVO4c5WWnBVw5aRSuPUTTMkNtWvl9ZC97AUknZGImx9Bkio+joZKNbAf+wm3LQMhBPYTO/Dknfb58f2y6Vvy8/MRQvDjjz/yxhtvcOutt1Yo46OPPqJ169ZUrXp+MO0/M6/5d9I0MZS1j3Qg2Pznv8PNepnEECMrRrdiUPMEetaPYdnI5iwd0419P2+lMC+bYlsulWKi6XnTjb5rU7VSKJXHLcYUX6csQ33ZB2KZQ3tgkx5E9ZlE/EMLiLjlMYq2L68QuSVm8EtIaCHohOql5OD3eItyMMbXxlq3A9FdRzL9i20sW7aM7du3M3/+fG655RYA1qxZw969ezl69CgnTpwgNjaW2bNnc//991+uJvXzO/h7fFcI5bnmzn2xnptrbvz48cydOxeXy8XIkSPR1b+R19ceIXv7SizVWqJYQ3wvVkuttoR1HgloL1eESs7Xr2vxGz0uFGso0f2f1dZ7XAhVJf/btxBeNyHX30Fop+HoFYnPBiSRnJSIEIL58+fz7bffcuDAAQD27duH2+2mfv362O12Jk6cSFxcHLVr176k81+6dClRUVG0a9eOO5+9A3P1lljraD3K4LaDODN3NMg63Lmn8Bbn4bUXEXbDKIyVamCMr4soEz99RCKyyYq5ajOAstx1Evroylr0k40fEtPqVu69914AnnnmGfr06cMPP/xwsaoBl5YSKTk5GV32EU6v/0iz9jMHY63VlpDrhwDgTD+A/dhPSDojp6b395Ud1W8ypoR6WOt1wpN/hsyFE1AdxSiB4YR1vx99eAKVIwL4ZMnbjBwxAqfTSXx8PE888QRDhw6tUO8PP/zwd0X9SiA5wspP/9eVl745wAdbUvCq4qJxM+FshpHhbatQ8P1CqlXq6lu3cMEC37VJTk6+6LUJth3ll1lnLUArpKsCCrYtxX58OwDmyk0ruFYo5kAi+zxF3rdvaXn/wuOJ7D0RpSxpcf6PXzDxu5lMFILKlSszZ84cXxCIcw3YQBv5CA0N9YW/8/P343dgv0KYPHlyhRcrcMGHt5xd+w/Rd+Ex0r94Dfux7ee9WMuNWHJWTKdkb8XMBOE9HiaggeYsmzL15vPqkjR+BdWjArhJ2sHzzz9PaWkpjRs3ZsaMGTRrpgnK2rVrGTVqFGlpaVitVlq3bs20adOoXr36Hz7nDh06sG/fPoQQuN1ubr/9dua++x4htVujj6tNcKs+pE7vj3DZQagENLqRwKY3kfHho6Doie43GWNsTS2gcVEu3uI84scsJHPRkwS1uB1z1WaUHtlGzudTCes6isAmN3L63QcIa9uftE9eQKfI5OTkEBkZyW233cayZcv+cN3/KG9vOMb01Yd+05jkz2LUSYzrWvMPpUT6L1I+D/nJ9rPzkLIsIQS+eci/YlRTztsbjjFjzeHfDGBwKehliXvbV/XH6ryC8Qvff5hpqw4ye+NxPJfZMuDP5Jr7K2zbto06depw5swZatWqhcVi4at1W+jR7w5MNdsQ2LgHAKrLQdr/hhLUsg/BLW/n9Dv3IpmsKEGRBNbvQvbnU7U0MkIl6bHPKdr1Lfmr39HyyJU5LyeMWYhsMJP+9ggq9bifja+PJTnCysqVK+nRowdr1qyhU6fLb+5vK3XR8sU1f8oH8ff4MymR/uv8HUY15fwd1wYgMczCmkf82RmuZPxX5j/MmM41iP0bAkoLAf2aJVz2cn9Ny5YtCQwMZMmSJbRr1462bdvy3bffoBjNFRyKZYMJhErh1k9QHcVE9p6IpDPgOP4z2V+8hKQ3oguLQxcYgf3kTmzr3id60IskPv455spNkCTJl2BV0psQLu1FunXrVoYM0YYdGzZs+LecY4jFwIi2lTHrL8+jZtYrjGxX5ZoQvXI8qkq6rZTjOSWczC3B4708QnW5rw1oc46LRrbyi94Vjn+O7z+MQac9ZF1eW3/ZMjSU55r7J1+sH374IePHj9eceiUwRCRhzzobzcJty0B4tKSp3qJcDDFVqXTHK771GR89imS0IBsTcGUex5hQF2Ol6qhuJ45Te9BHV8V+cieG6CroI5OwZxzj6P493D3gNsaOHcvMmTPPm3e5nIzpXIOv9pzhVJ79L6WPKk+JNKbzHx9O/i+SX+Ji3pYTzN+aSm6J64LbhFsNDGmZxN1tkv/SvXq5rg1oiZ2/GXP9VZvd5GrC/1nyHycuxMzKh65HJ5+fZ+3P8k++WG02G6tWrWLdunWkpaWhqiobN26k/+09sdRtj/3wVop3fYvXUYJt/Tx0wVEo5kD0EQm4sk7gyk7FXZhNwdZPcedn4Dx9hODW/TFWqo4zbb+WmufwFiSdEU9uGoaoZAAC6nUi/+evubNvT6ZOncratWsrxEb9OzDoZBaMaEWwRY9ygXx4f4TylEjzR1y9vQmXR2XqygM0e2E1r685elHRA8gtcfH62iM0ee47pq48cF481j/K5bg2UJ7S6+rNZ3m14Z/ju0o4mVtC9xkbLzm017m55v6JL9bs7Gx69OjBrl27AGjSpAnPPfccXbt2pcv0DWxb8CrFO77WfBFlHabEeoR2Go4hqjL5a9+jaMdXWhYCSUIXGkdYl5E+U/PCn7+k6KfleAoykQxmQlr39+VKA8hbMI6iU5p7h06nw2AwkJycXMFH8e+gPO5oZqHjT/XQz02JdLX2JtJtdvq/s4X0fPtvWnNejLhgI0vua3PJ7XOp10YnS8QGm1h0z3VX7bW5GvEL31VEus3OgHe2cKbAzp/Rvyvtxfp3WdvBP2e4czFcHpXpqw/x7vcny0KH/X5KpJHtqjCmc/WrtqeXbrNz0xubsNkvLUFwOYFGHd88fOlDjX8mXZVJJyGQrvprc7XiF76rjHMfXhC/aUZ/pb5Y/y5rO/j3LCLLcwl++ksaKWUm+l5V4PaK8vgy6BUZRZYuq8n+lY7Lo9J1xgZSckt/f+M/QHywkXWPdfpL9/Kvw7pd7hilfv59/MJ3lfJff3inrTrIez+cuGxGO3DWcOef9K/6M70Ig04CAcPbVGZs15oYdFfGh8jfyd/hkjOqfVWe6F7rspT1d7pT+Pn38AvfNcB/8eF1eVS6zdhAal7pZQlgLANJ4ZbLlp3hj3Dpc3oy0UGmC+YQvFKZOXMm8+bNY/fu3SQlJeFyucjLy6NKlSoEBgaSlpZGSkoKTz/9NEuWLCEtLY3YuHjOGONwnD6CpzAbyRSIPjQGT24aqtuBIaoKqtuJtyAT4XUjGwPKcu5lY6hUnaCWvSnc+gmu7BQknR5jbC08BZl48k7ToF4dBg0cwOeff87OnTsxmUy4XGeNZVwuF263G4vF4ou3OWDAAObOnXveuf0Xnx8/v41f+PxcsZTn4/urqYlktMzg/5ThDpyte0Gp+5LM5GVJ8zP7J+v8V/jss8+QZZkVK1awfft2br/9dpYvX87u3btRVZXFixdz//33k5+fz/Lly+nevTstu93GT6uXE9x+KMEte1G0/Uvy172LPjwRT1EOCC+S3kT8/R8gyQqF278kf807yEYrqqOYgEbdsdS4DmNCXVSXg/T/DQVJBkWHQZGQhcqbb77J6dOnWbt2LW+99Rb3338/P//8sy+m6pEjRy6YSDm/xMWiH1NZvP0Up22l6BQZRZIQgNurkhRupU+TeAY0vzJHTPz8Nv7PFj9XLHEhZr58oC2JYRZMlzjsZ9TJJIVb/lEBKc8leKmiB6AK7eU7eO5W3JfJYfvvpDyRckxMDI0aNaJ+/fq+RMrBwcG+BL0BAQHceOONHD9+nH179wASst6oRd5RPUiKHiSZhIcWEN5jLGqJDecpzdrWGFsDkDBVboKkN2GMrYW5SlNkvQl31nEkvQklOIqkRz6h9rhFyLLMl19+SWxsLEIIbr31Vm6++WZ++eUXX+/v19nPMwsdDJyzhSZTvuPlbw+RmleKR9WGqEtcXkpdXtxewdGsYmasOUzLF9cwbdXB89wpPF6Vo1lFrD2YxdqDmRzNKrpsjvd+/jp+B3Y/VzRxIWa+fbi9b57Mowq8f6D7p5NBlv4dq7vyXIJ/1SFaACm5pUz5aj/P3FLv8lTuH6JXL819ZP369RQUFFC3bl30ej2VKlVi+fLlTJv+OvoqLSAzBV1Z8mNT1ebY1s/DVEXLiO46cwglKIqcL1/Fay8ErxtT5SaYkhpgP7a9wvHc2anIRivG6CoA5JW6CAkN5fDhwwCUlpZy+vRpxo4dy3PPPUe7du3YsGEDvXr1wmq10uq660i88T6+POH5w+4U5fO17/1wgq/2nGHWoCas2pfJ/G0pv+l4f0erRO5q/c8GifBTEf9Qp5//DOUGOx//dIqTuSUIQYWXlARIkpbjbUDzhMtquDNkyBDWrFlDSUkJMTExPP7444wYMQKXy8WgQYPYvn07KSkpLP/6Wx7d7PFZpBZsW0rJnjV4CrORzUEENulBcMve55XvSN2j5Xtr3Z/Q6+/wLS/88XMKtn2KWfLSr28f3nrrLYxGLXHq5s2befjhhzlw4ACVK1dm1qxZtG3b9rKc76UyceJE0tLSmDdvHm63mxo1amAwGDh06BDx8fF0796dd999FwBJZ0TSmzBXa44jZRfewly0lMGAJKMERWKIqowjVesZIrzoQisRUL8rto0fEdblHor3rsGdnYLqLAHVS2Cz2yje8y3CWYqiKAwcOJD27dsze/ZsDhw4QFFREdWrV2fixInMnDmTuLg4XnzjbToPHEXukR1UGvYmkqxc9PwuhgR/yv9QkSVGtq3MI9eIEdOVhr/H5+c/w4WSqJa6POSVuAizGrEYlL/N8GDChAm8++67GI1GDh48SIcOHWjcuDH169enbdu2PPzww/Tt25d1h7KQpLCzOwpB+M2PYIiqrKUY+vgpdIERWOu0P7uJ10Pe6ncwxFa0NrUf/5mCrZ8SPfB5wiOjOLZ5JpMmTWLq1Knk5eXRs2dP3n77bXr16sWiRYvo2bMnx48fJzQ09LKf/59FVVXuuOMOFEWhZcuWADgcDubNm4ei06NPbkxImwFkfDCO0mPbCWp6E4XbliHcDpTgKGKHvUnBts8o/GERKAYSHpoPQpD+9giKd63yHSesyz2oLjtZHz+FEhpL8e5VxN4zG4SK9NWzxMXFAWA2m4mKimL06NFkZGQQGhrK7t27CQgOZciHezG0G4Znez/cOad8UX7+DH+29+BVBbM3HmfFnjN87Hd+/8fx9/j8+PmTHDp0iA4dOvD666/Tr18/3/L4+Hiib32U3KCLh3zL+242CEFYt/t8ywq2fILqKMJbUoASFOHr8WUvn4YuOIrQ9lqOvXaWM3z3v4lkZGSwYsUKnnjiiQrRZmrUqMETTzzB8OHDL/cpX5ByS849e/YwcOBA5s2bx8SJE0lJSWHTpk1kZGTgdDqRZRmz2UxJScnZnWUFSWfQUk7pDGXJYMuDiJdqWTWEAKGC3ow5sR6OU3u1aD2yDF6vto3qBcQ5/9fKQJKQvC4iwsN5/vnnmT9/PnfddRd33303gC9zvdfrJfK2CZhrtOLU9P7E3DENQ1Tlf6T9ygmx6PnqwXZ+8fsH8ff4/Pj5g4wePZp58+Zht9tp3LgxPXr0YPHixTzzzDOkpqbidDpxHjmALsaLbdN8XBlHQZIxJdYntOu9KNZQHKf2Edi4O86Mo+SvnoMz4yh43YRcfyfekgKEo4TUV/sAaC95RUfhlk8I7TiM9fU7k5mZyaFDh5g2bRoHDx4kNDSUHj16sGDBAoQQ7N279x9rj9jYWJo0aUJqaioffPABH3/8MaqqIoQgICCAZs2asXnzZlRVxWKxaMInSWWCJhBuLWs9nrL5MEnRRA8wJNTDk3UC1V4Ibjv2Yz+BpGhC6FU1YVN0CFUTzHLRAwhqM4DSvetw56SQlZXFyJFaUubatWsTFBREYWEhBoMBu90OQPbyl5EUHcg6dKGxvnIcaQfIX/MO7tw0dMHRhHUbhSmhrm99yb715G/4ANVeiCm5MeE9xqCYAwHw2ovI/fp1HCd3IJuDCG0/FGvdDgAIISjcsoSind+gOorJrtqMXuqjrJ/QA7PB/0r+J/D3+Pz4+RN4vV62bNnC+vXradq0Kffddx8ff/wxLVq0IKZSLPp2w/HIBlS3A3PlJiDL5H37Nt7iPIyxNSk9vIWovpM5M28MoZ1HULp/I5aabTDG1qRg66cVenzpb48gqPUA8la+Qdy9c1ACw0mddhtNmjalRfPmLFy4kJkzZ1KzZk0OHDjA3XffzciRI5k9e/Y/1h6fffYZixYt4rvvvqOgoKDCOlmWUdWLWTJKyIFhqEW55+ygVBAw2RSA6ij+YxWRdVAughco69d10uv1uN1aiDTZEowhpjqqowhrrbYEtbidjPlP4EzbR/gtj2Ot1YaiHd9orhTmIITHiS44BndeOtH9nsEQU5Xcb2aCUIm89QlyvppByZ7VmKo0I/K2J3BlHidz4QSQZSRZh1C9IARx981BNgWQs/wVZJOVqJ6PUCUywO8m8Q/gn1X14+dPoCgKbdu2JS0tjdGjR/P000/TqlUrZFlGVhQMAcGYqzbDWqststGCrDcR2PRmHKl7KN67lqi+kyna8RXmyk2QDRZUt5OABl3QR5yf/1DSm7Af+wljQl10IdGoZb2hXYdTOFytL8OffYvpM16ne/fufPPNN3Tp0oX4+Ph/tD169epFzZo1SUxMZOjQoQghOHjwIFar9TzRCwgIQB9dBWNCPYxxtRDn5FxEVpBkHYZKNXyL9OEJYDCX+eZpbg4XQg4IJ+KWx0Bv8i0rN1AJCwvTjqvXExsb63NWj69RD2QFJTCChIcWENHzESRJpmDbMlJe6okzTRtCdqTuxp2XTunhzaB6UUvyEc5SrbcqvBhiqiIbzLhzTlF6YBMpU2+mZM9q376ywaz1EoUKXo+2n9cNqofCrUuRDWZ0YbGU7F3LiRdvZs0jHRjVsQahViNjZi5l4aLFtG7dGovFwvXXX0/t2rX/8Wt8NeLvV/vxcwm43W5SU1PJzs4mMjKSgoICLRLIxkVE9p9SYdvCbZ+B6sVbkIk7Lw1n+iEMkUnkfjMTtSSflKk3A5LWI1D0uLNOEtXnKSSDGfuhzaDoOD1nFJba1yPpTegjEvhh+gOsPX0QkDBZrMiywoEDBxg3bty/0h4AW7duxWKx+IaCN27cSK1atbDZbHg8HkpKSxHFx5F0RkAgW0LwejQRQPUiVK82PKwzgurBefqQJhiAYgrGay9EDoxCLcwi8bFleApzOD17JLLRgjv/DLgdvp5f/zFPs/jViTRo0IDc3Fz27dtHo0aNOH36NDt37uTU8SOgqniLckh5pTd4nCDrkAwWJL2JwCY3U7j1E0oPb0XWm7DWaY876zjG+Lq4Th/CU5gNSLjz0lFLC/AW54GiRxcYAbKCJy8Nc5VmABTtWqUNowZHEXvPbDI/fgpn6h4stTQLXMeJHQBED35J6/lvXkLJvrWsyjSzfvcJ+g0cTrO2x1n28QKSExMpKir6Ny7vVYW/x+fHz++QlZXF4sWLKS4uxuv1smrVKhYtWoSqqnz66ac899xzzJo1C1mWceWdQXhclM8gFGxZQumBjcjWUJQAzdrTW5RD8d61mBLro4+phqVuR3ThCdp8YHIjwm96GE9RDq70Q4AgevBLBLUZRMEPC9EFR+E4sQNz9VZE9n2G8Jsexun28NmqdbjcHm644YZ/rZ1atWpFUVERmzZtolevXj63C5PJxMKFCzGbLegjEghs0gNz1WZUums6IR3vBkmPHBRJaJd7tYI8TpBkwm8aC0YLSDLeknwkRY9s0Hp17pxTmgsD4Mk9RcGGeYAEqhclMJxv3nsVs9mM2Wz2GQBt3LiR0tJS1q5dhy6qMubqLZF0RvQh0VQa8RaS0YzwOLHWboeltiZKkqygukq1f+3FKNYQlKAordcmVPQhlSjeu5aAhl2RFB36qGSs9TsDYKl5HUKoFHy/CMUajKcgk7Q3BuPOOgFCoARFUHJoM+7802XHkpEUHY5Te7DW64TDIygIr82c0zEs+vk06aczOBbXhZxiJ29vOIat9OL5Cv38Nn7h8+Pnd5Akibfeeov4+HhCQ0N59NFHeeGFFwB48MEHmTp1KiNHjkRVVTwFmaS+0gtvQRbu/NPYNs4HQNgL8Rbnk/3ps6j2Qiw1rsN5ai+h7e8krMtIPLmp6EMr4c5LRzEH4i3KBUXBEFON7E+fJe+bN7ReQ1g8SnA0wa16U7JnNXnfvY1wO3DZSyi1xJBus/+bTVVhKPitt94CtPYLCwvD6bBjrdYcSW9C0hlQLMFaT0kGtTCb/PXv+1w6Aup3oWj7cvCcTVUkPC7Nb6BsuLJox9cVD67Tg6KjeoPmFBYUYLfbWblyJaC5V3Tt2pX4+HiMYZVwpOzFmX6QsO4P4CnIBNWLMa4OeN14XXa8ZXOLaomN0v0bsR//GVNyI5TAcLwOrcdlSmqIbLLizk5BCQxHuBwENrsF1aEJsi40Fm9hDt6iHHTBMYAEehOibAg4Y/7j5H41HV1QJACZSyZz+t0HcJ7ai7VepwqnVrBnPUpwNKqsx6OK34waA/7IMb+HX/j8+PkdIiMj2bBhAzabjcLCQvbs2cPDDz9MfHw8kiRx8uRJhBD07t0bS2AwNSZ+DZJE5qKJWBt0xVytJYmPLUMJiiSyz9OYqzZHeD14i/PKTOe1F3lgy15IZaG9dOEJoHoxV29F/AMfEHHzIyiWIExJDSnPEx7Y5CbtP0KgOksIaNGbIf9giDOPx4PD4cDr9SKEwOv14vFoBiZOp5NDhw75tt2xYwderxdjQn3NgKfTCAAMEQllolMLfWgshshkAGSTlZihrxI9YIpvuDPshvux1m4HAty5aXgKcwBNYCS9kaAmN4PXzeGt3/HYY4/hcDjIycmhUqVK6PV6CgoKaNGiBR+8NwdJZyCoWU+sda4HJITw4s48BpKE/cAmshc9CYClTjsSHvmEiJ7jcOeloQSE480/jWQKRC6z4BRuByW7vgNJwhhdFWf6Aa19ck/jKTPe8dgyCGzSg8ie4xCOInQhMQS36ou19vV48tKRjFbiH/wIfVgcICEbzro2lB7aDEJFsQT5ljncKk6Pyns/nKDbjA2k2+zkl7iY/t1hmk75jmoTV9Jl+kaGffATwz7YTpfpG6k2cSVNp3zHjNWHrvneot+q04+fS+Tpp59m5cqVfPXVV+j1eho2bEhQcAilHR/l1EdPYK3fhZK9a4juPwVdSDRps4YR3uMhQCJ72fMIZykJY5dg27QAV8YRgtsMJHflm8SPfo+SfevJWz0b1e0CrxtJ0RNx23iMcbU4/fYIQrvcg7VuB0oPbyF35ZsENLyBwEY3EBSd+I+lXpo8eTLPPPNMhWUTJkygbdu23Hzzzfz61WI0Gql557Mc3fwNpYe3gvAi680oQRG4s0+WeYELjAl18ZbY8BTlIOkM4HEjXHYkgwlDdFWsdTtSsO0zvLYzIFQMiQ2QTYHgdeE49hOgDa+CZoUrSRIejwer1coHH3xAv/79MSY2wFClOa6sEzhP7SXshgfIWjQB0IyKJEWP6igCScZcvRW6oAgcaftwZ57QhLjMtSKw5e3Yj23Hk3vKV38fso6gVn0p3LwIFD36yGTtPL0eJFMAIW0G4DxzhNKDmwhpOxj7yR04U/eCJBHcZiAhbQeiuhycef9BdKGxOE7u1IyAkEh4eDGSTq8dBtArEoUnd5Ox4PzoPxfiWo8c4xc+P37+JOem4KlSpQoZGRmYTCbi4uJJP5NBdp5Nm3+SZO3nM7OXyvzYVG25UMFgRi5zuFaL8wAJyWgB1YPwejFUqoY76yQIVRvqKytH28arlSfJmrVg2RBaWLuBHPvmfUIsBrKzsxkzZgwrVqzA4XD4fOzKff/+KhcSv8jISJ5//nmef/55UlJSLrifpWYbHKf2aX56QoAsowTHENT0JoKa3UL2Fy9jP14Wj1MIgtsOJrjFbb79NYOgi6PT6ZAkyeeycC6BgYEUO1y+IUdJkpBMgajFWu8sduRsVFcJGR884tvHVK0FzpQ9yOYAlIAwAhvdiNdegG39PEBCNgcRdF0fvAXZ2I9v9/XihMcNXhfG5MZYa7cjf/08hKMEhBcUvXbtEejC4lCCInEc/QnJHIBqLyZ+9Ht4i3I5M+9h7V6RFc3B31mCpDcSO3wWupBorYm8Hs58MBZJZ8CU3Oh3hQ+0cYa4UPM1GTnGL3z/ATxelZO5JaTm2QFBYpiF5HDrfyon2NWU06w8Bc+qVasoKCrh+pGT+PSXNH7+ZCalJ3cR2mkEOZ9PRdKbNAEsG75USwoojzIScevj5Hz+EgGNbkQfFos+MpnsT5/FUKkG0YNeIPerGZTsX0/io58hyQr24z+TtfQ5FEsI1rodcaYfwBhXC2ud9ugjErFtWkDhj8tA9RLa4lZefHka915flXbt2tG8eXO2bNlCixYt6N27N9dddx179+6lcePG/3jb2UpdNJny3WXJsfhrdLLE4zfUpEVQEQ8//DC7du1CURQ6derEm2++yTfffMNdd92FxWLB6VF9dYgdMQtdcBTpbw3HW2JDMllRi/MBgRwQhimuNq7sk3jy0s8eTFY0lwnFQGDjGyneuRIltBLuM0fLPmq8oDeSNG4pmUsm4zi+/bz6hnYchrVBV9LfGo5w20ExgNcFkow+MpnARjdgrd+F7M9fQjhLUR1FuHNSNetfg4WEBz8CSaZwyxIKtn2GcDtRAsOw1mxLaKdhf7jdrsXIMX7hu0LJL3Exb/PJ34z0HmzSced1SQxvW+WKdHbNLynLAv9LGim5JShagnG8qkBVIS7UxMDmSQxqmXjF1f9C4biA84JSW6o0IX7gMzicbmzfL8R+Ygd4XLhzTyFbgglsdKNvLi5t1l2+qCWS3lhmrKES3G4I1lptOD1nFFAWtsvrAdVDYMvehHW8m8yPny4zexdIOqMWsUQIkp5Yjqcgi+wvXsKTd1obngNaP7mIextamPDIg4yd/BLTJz/Oxu17SYoI+Nc/OJ5bsY93fzh52cs16mS2Tej8h+6ltzccY8aaw74MCwCuzONkL3tBM3YRAiQJc9XmmJIbkb/6nQuWowuNJaBRdwq3LkW1lznw64yEtBtM6cHvtSHS04dRi3I0QZQVLeKMy0HsfXMo3rGSwu1f+EK2KSGV0AVH4S3MQh+RhCvzGN7C7IoHLR8tAM2/0esGJEI7j6Dwx2XIJiseW2aFXYTHRWDjHr5QefaTO7XACoXZGGJr0GjIBDY92/8fzWLyb+IXvisMl0flte8O8c6m43/qq7hhXBBzhzYnMtD0+xv/zbg8qi+NkBAqrvMDaJxH4/hgZt/RjKigf7/+ULFXZ7fbKwjfi6++zmenjOyZ+wTGuDoY42pS8MOiigXoTYR3G4Vt40eoLrsWk1KoZRkabiKk3WBKDv5AzucvXuDoMqCiC4vHk3/67EsOUALCiH/gQ/JWz6Fo+xfn7SmZAhCOYuLue5cz8x8rGz71rUUymAiISuSuMRP47r2XOXL4EF6vl44dO/L5558TFBR0XpmXG5dHpdnz31Lo+AM3xh9EJ0vc177qH57btJW6aPniGl8WjV+Tv/EjvIU5RNw89rx1af8bSniPsUg6PY7UPXhsGThP7cVTkIlsKQsQ7nUR2nE4tu8XoDpLEC4HhugqBDS5ify172KIroJiDqL0yFbt+grNoCe43RDMVZpyevY9IMtYalynOc8LQKhYarUDWaJ0/0YtOg2AEBgT6hHVeyLZX7yE48QOYke9h23tu9q8IKA6S4js8zSWqs3wlhaQPnsk4Tc+hKVaC2wb5+NM28eU97/4R+aGrwSuDXn/j5Bus9Pp1XXM3vjnRA9gV3ohzV9Yw/iluy9o3vxPkW6z023GBuZuOobT88dED2BHWgEtXlzD+M/+nfrPnDmTZs2aYTQaueuuu3yJVUNCQli+fDlGoxFJkuja/SYW2etREFwVJAlH+n4KtiwBQNIbkS3B6EIqoZis2E/8grcoB+Es8YmXai9EqB48BVnkfPHS+RVRdCQ++ilBrfvjyUvT5vAUvW+1tzgfgKDmt1bYTbIEg6xoc0qA12U/K3rlEU/K3AD0dbvw5viRHD6ZxqAJrxEdHY3T6eTBBx+8bO35Wxh0MssfaOezTr0cxIeaGdP54sHBf02IxcCItpUx6y/tFSjJMqaEuniLckCSCO00HH1UFYTqRS21EdrlHiw1ryNm8EskjF2CHBCKMa42th8WI1x2Aup1xnn6IIo1VBM1RYdsCaFw29Iyq1ABqpfSg98jGa1I5iAkvYnSo9s00QNtjleomlWv6iVjwROa0AmV07PupvTgD+hCY7DW7wJCJXvpc6S+2oe0N+9AOO3krXyTvDVzkQxmnKcP8/jNDUlKTmbatGkcOXIEk8nEkCFD2Lx5My1atCAwMJA6derQtWtXgoODCQ0NZfDgwZfUfv82fuG7Qki32enxxibSbI4/neLkXBZvP0Wbl9b8K/5c6TY7PWd+T0puKc5L/Jhf/NMpWk/95+sfGxvLxIkTGTbs/LmR8PBwX3qbjevXcnhqL9Lf0ZytZcVASIe7QdEjvF7U0gI8tjN4i/NxZp7wic25FG75BE9pgZZF4Nd4PZx6fRBFPy47Z9m5BhqC1Fd6kz5bC7xcLorCWaq9CD1OADLef8i33troRm2uKqmh5j9nDUVS9JirNudHqpPv8HLjrX34+OOPKS09J4zY30hyuJVPR7W+LOIXYtGzYESrPz1MN6ZzDaKDTCgXuEZ/GFVF1puw1LgOJAnhKEIyWgmo1wnZFIAuJNoXJk0zYMot67m1wWsvIrDpzciWIM3SU2/EW5SLbeNHlLu4oBhAUnzBD8xVW5w1mpJ1ZR81Anf6Ac0xvjw+qQSWWm0Ivq4fRT8vB8AQW5Oglr1QrCFY63ci9t53cGUew3lqL7qQaCJvGsuwKXOYOXMmvXv3pnnz5jidTnr27Mljjz2GzWbD6/WyadMmdu/eTVZWFo8++uilt92/iF/4rgBcHpVBc7ZQYD/fAu1SyC52cUOZb88/hcujMnjuVvJLXH9JuAFySly0f3ktJ3NLfn/jy0R5Dy88PLzCckVRaNOmDdGx8aDoMSU1InHcp8TdowWCNsRUw354Mz5LS1MA6EzIliAUoxnZEowxqQH68lQ3kowuJAbhdiLKRKoCkoS14Q0ogRHa36pXe7npjL5NhKJDNgUA+P49N6uAtqIsGqHXTcnub1HtRaj2Il+PsKwkHB4Vryp4e8MxnE4nR44cuaT2uxSaJoayblwHAo1/PvEraNKQEGq+ZMMMg05mwYhWBFv0f0j8vCU2SvZvQAiBUFXsx3+m5MAGTMmN8BTl4M5O0Xr9hop1SZ3eH7U4j6Kfv0QJikTSGzXDGI9bE8NSzejJnZMKQsVctTk+twivC1Fqw5N1HH1MNXQhUdqQuTWMSsPeIO7B+VgadPWNKJTfZ+Za12M/8bMWWq1MDE0J9bAf/VELgmANRbEEE9S0pxY0wRqK1+Xg+2wDtWvXxm6307lzZ7Kzs4mJiaFv376sWbMGp9NJYmIiq1evRq/X/ysGUpcD/xzfFcC0VQd5e8MxvJf5SiSFmlg9ruM/MmE9bdVBbXjz8k3bALB67PVUiwq8vIX+inNTCxkMBlq1auWL+DFx4kS+/HIFu3fvAlnBlNgQ4XVpcSS9FT9UdOGJmj+XT/ol9FHJ2pe4zwgBkGTNuMX1Bz9MzjVmuNDff3S/sjqF3fgg+d/NRjYHog+Px3Fyl8/NYv6ChQweNPCP1esy4fKovPD1fuZtubDrw4VQZIl721VhbNcaf/n+TrfZGTx3K5mFDjK3fkHJnjW4Mo+jC44m7r45lOzfgO37hXjyz5xtT1mPPjyWwKY98RbnU/D9r11DNCGVDCaUgPCyfc9/OCSdQXNH8Xq09UKcte78VVkXTHcrKxiTGuA8sePsfrIOJSAMb2FWhU0Va6gW79QUiCm5EZG3PErxvnXkfvkquvAEQtoNIbBqY07PvINJkybhdDpZv349WVlZ7N+/n2effZYffviBLVu24HK5qF+/Pq+88grt27c/v15XOsLPX+bNN98UTZs2FQaDQQwdOtS33Ol0ihYtWgidTicAERsbKzZu3Ci2bNkiunTpIkwmkwAEkizQGYWkN4nY++aKpPErRMxdM4Qxvq6Q9CYhGSwCEGE3PiiSxq8QSlCUkHQGgaxo+8uKCGrZWyQ+8aWIuOUxoQuLE8g6rVwQs2bNqlDX5ORkIUmS0Ol0Ii4uTjz22GPC7Xb/5nn07t1bJCUlCUCsW7euwvk/PmGiQFa0upb9ys/j3F/4TWMrnEfS+BUiuM3Ai+4be89sYa7WUoSEhYvQ0FDRrVs3cfDgwQteg06dOglAuN3uP3Xtvv32W5GYmCi2bNkivF6veOihh0Tfvn1966NjKmltfFl/8jn/l/6G8st+iuGCy3WhsSJq0AvC2qCbkEyBAiRhbdRdACK8UsKfar/LSX6JU0z/7pBo8ty359075b+mU74VM1YfEvklzst6bKfbK17+5oCo1GuCqNR7vNBHVRGyJVjIgeECEIo1VFgb3SjCb3lcACK0492ido+7tHXB0dq2YXECndH33ElGqwjr8bCIufNVAQhDYgPfckCgM4igNgOEPqqKAIQcFHWBe0QSkt4klIAwoYtM9pWNJImw7g+IwCY3V7iXJJ1BmKo0E/roqtoyc5Cw1u0ozNVaCHPN1iKwxe1CMliEpDOIuNHzhKFSDd+9EjvyLWGMrSEio6KFw+EQkyZNEn369BHBwcFi4cKFYvjw4Vr9JUmMGDFCLFq0SAQHB4vs7OzLei3+CfzCdxlYunSpWLZsmbjvvvvE0KFDfQKiKIowGAyiQ4cOvptTkiQREBCgPQiGc15Mil4ENr9d6IKjBXqTQJKELiJZSAaTbxt9eIIwJta/8EtOkkXYDaNF3Oj3hWS0nLdekiRhMpmE0Wj01UuWtYfIarWKF198USxdulTUr6+Vf8cddwiHwyGGDh0qrFarrwxAKIoizGaz7+8KL3GdQUh609kH9IIvZL0ASSghlTSBPnedzqj9fl1u2f8VRRF169YVlSpVEjqdTkiSJMxms6hZs+afEr727dsLo9EoZFkWBoNB1KhRQwghxJNPPin69+8v+vfvLwICArXzNpiFZAkRSLKQAiMr1ic46uLnCUI2B//meskcJMo/Xi678J13ffCdT8ydr/rEBKXiNejS7QaRkJAgTCaTsFqtwmq1iq5du4rDhw8Lo9EoWrVqJWRZ9q2zWq3nfQz9VdwerziSWSjWHMgUaw5kiCOZhcLt8V7WY1yIJ/5v4nntFVC9pagy5kOhlIlgxXtZJ4LbDRayJeT8djYFCcloFdEDXxAoeiFbtHtBF5EkTFWaCnP1lgJZEdbGPSreU2HxIvz2//M910iy0IWWPStlz4tsDRWSzigwmM8RQ1kYYqqLoNb9BTqDQNELSW8UurA4EXHrE0LSm0TCuKXCUr9LWf0CRXC7wQJJEvpKNURQyz4CWRHfbt0thBBi0qRJYvDgwWL9+vWiWbNmwmg0+u6FZ599VgghRL169cTnn3/+t1+Xy41f+C4jTz75pBg6dKhPCKOjo0ViYqJQFEWEhISIlStXirFjx4o5c+aIgIAAUadOHRFRv62IGjBF+1ozBoiEhxeLoOv6ClPlJtoNbgkRIR2HC0NsTSFbgkVg81uFEhRZ9rKURfxDC0TS+BUi7MaHhCG2pgjvOU4YYrSvuPiHFwvZHFT2wChi8DPvCKfbKwYMGCBq164tYmJiRIMGDYQsy6J9+/Zi/vz5ol27dj7hKy4uFhMmTBBjxowRx44dE1988YX24Op0YteuXWLXrl3i+PHjIqnLEKGPriqUgDChj0wWSeNXCGNCPSHpjcJat4NIGr9CBDTqLsK6jRLGhHoitPsDQjJahWwOFHJguDBVaylihs0UMUOni8RHPxPBbQYIQFQa9j+R+PgXIqBxDyGbAsSAgQMFILp16yaqVq0q+vXrJ3766Seh0+mE0Wj808I3e/ZsodfrxYsvvujrfZeLeXkv/Wr8ydZQIZsCRPTQ10RYjzE+gVQikoRiDRHNO/cUFotFfPfddxXarGvXrqJt27aiVatWok2bNn/HI3TFEBcXJ1q2aiX0er145P8mi6TkKiIuLk7cf//9IjY2VjRv3lwkdRok0BmEpU7780VPZxSh3UaXfeRVXGeIrytMVZqK0Bvu9wkboIkViJCOw0T04JcqiGH5NpYGmmjpoyqXrZN8YhjS4W5hrddZBLXuL3RhcULSGYSl9vVCFxIjTJWbCGNcLZE0foVIfPwLIekMQgmK0kZbDGYR0uEurSeqM4iIyCgRHR0trFarMJlMonHjxkIIIebOnSuSk5NFQkKC+Oabb4QQQtSvX98vfNc65cInhBAej0fIsixkWRYBAQFClmVx2223idLSUiGE9mDdccedQjZayoYttZs3afwKYUxs4Ps6BEmYqjbXbnRJFgljl2g3bNkDoQuPF5XufkPEDJ0uJL1J6EJjRdgN9//qYZMEik5EDZgiWj37pdDr9aJLly4iKSlJTJo0SVgsFtGsWTNRvXp1sWXLFp/wlfPrnh8goqKixNdffy127d5zttdS/sUaHC0kvVkogRFCH5l0/sv3nAfd2vimX/V2tF6jEhQpAhp1v2BPqLynt2bNGhEVVbHHtXjx4j90rdq3by+mTZum1Vc5/xgBoRFn63MFiNUF2+9v+IV2vke0/r8FAhBffPGFr70WLVok+vbtKyZNmnTVC1/5s1uvXj1NZPR6cdddd4nU1FTRunVrYTKZRIsWLYU+NFbIAeHCWrfjee1ojK8rQrveVyZskkBWhC48QciWIBHQ+CYh6Y3CkNyooiDG1tKOF5Es4ka9L0xJDc+55hXvUUNC3fPvT0UnjEkNhLlmG6ELqSR04YnauwWEPrqqqDTiLVFp5NvC2qCb0IXFiejBLwklMEIEtewtZGuIiLlrhkge85E4lZYuzpw5I8aNGyd69+4t1qxZI1wulzhx4oQwGAyiWrVqwuPxiE8++USEhob6hzqvdc4VvvT0dN8Nee5QZ2RkpMjNzRVxcXFi2ptvi/jBzwvZFCD0kdoXXGCTm351M5/zxWgMEEnjV4joIS+fJ2zB198pABHScbiIu+9dbbn+7DCpZA4SsiXEN78QGBgk+vTpI2655Rah1+tFfHy8eO2118SJEyfOE77i4mJx6623iuDg3x620+p7zvDtr0XLN+8onfM752FOaijQW3zl6EJjtWHbC7zoFUWpMNR6rnhNnjz5gtenWrVqvn3OH6b1/8p/sYOm+OaAz11uMpl8wmexWER4eLioXr26ePbZZ//03OqVTPmzGxoaKgDx5ptvitatW4v/+7//Ex999JEARMcuN4iI9kOEEhQlogZM8f1bPnwccctjQgmKFEpwlNBHVxUJY5eI2JFvCSRZWOt1EhG3PCYk/a+H9LWfpU6HC1+bC92zsiJkc5AwVW0uglr2OmfeXycko1UbYek0QusB6o2+Xh2KXujC4kR4z3FCCY72zbMrBm14+9577/UNdQ4YMEAEBQWJoKAg0bFjR1GrVi1htVpF06ZNxcaNG//ty3VJ+DOw/02YzWdNmn/88UeioqLo168fs2bNomfPngAISSFj+WtY6nSg+JcVmKu1wFucjz4ySYviDoR2uBtzteacnj0SnFqOMFN8HVAMmKu3BMBx9EcKNn4IQFDzW/CWpWtJHPsxp17rhxBewrrei6V6K5xp+8j65BmKS0o5k5HBjl9+ITExkYyMDB588EHS0tLOO5fNmzezY8cOqlWrxs8//4zRaCQ6OpqioiIKCgsJ6ziM3A0fIdwOjIn1cJ74RdtRoEWXkGQtJJPqRQoIR5TkUcHaUNGBpOBK2QVlpuBKYJgWtaTcZ6ks2LNObyAhPo60tDS8Xi+yLBMfH09ERAS//PILUVFRTJ06leuvv56OHTtWOA+j0cioUaNQVZUlS5aQl5dXYb1er79gUONrjYzPXkIIgdVq5Y477mDVqlUcP34ch8PhC0htNBqZNm0azZo1o3///uh0OiZMmPAv1/zyUP7s1qlTh5SUFIKCgnjkkUeYMmUKe/bsQZZljh09TH7mFryOYnI+n4rqLCXn86kEtepDcKs+FO9dh7coF11YHNEDnkM2WpCNFoxxtbAf/xn70Z8IaNANR8ouAprejG3te8Tc+Spn3r0fU0JdHCd3Ej1gCoaoZFKm9SpzB5WIf2gBp2b0B1khtN0QCn/5Cm9RDo7U3bgyjpTFD9VjSmpIVJ+nfOcUdE6A718TUFd7Tspjnd5zfdW/sXWvDPx+fH8ToaGhWK1WAAYNGoRerycyMpLw8HB++uknMjMzefyBkcgGC8U7viKgUXeM8XXwFOXgKThrhpy/7l3OfDTO93fK1J6kvtoHVDf2g5uwH96MUpbIEkVH+tsjSH93NADFe9ZovmICirZ9BggKti4F1YtQPfzw/fcMHDiQM2fO0KBBA5588kkaNWoEwC+//OJLKzNp0iSioqI4fVrLFH333XeTkZFBSUkJTZq2QJLLsgOAT/SUoEhQFCRZV2bGr32IiuKciqKnMwDSWVN/lx0kBeEsJW70PKKHTteyG5RlNFACwqhdu7ZPoFRVJTU1lV27dgGQl5dHSEgI77333nnXJCIigsaNGxMeHu67Hopy1ofsmhc9SUa2hqAP0nwZvV4voaGh6HQ6VFVFlmWefPJJmjZtSnR0NIMHD6Z+/fo8/fTTfPrpp/9y5S8PHo8Hs9lMYGAgQgjuuOMO3njjDQoLC3G73axZswZVVcnPzUUACIEQKpKiI6TD3QQ2uYncVbNwnPgFyWAiZuALKOYghNeD8LhQgiIJaNQdS71OlKbsxp2TSuEPizFXbY4uWMu0kPftW6iqypn3HqBk/wYknR7ZGopQvbhtZ7RoL6qX/HXva4l8JZnoPpOJvftNQEJ4XNhP7iT11T5kLj4rfq7sk2R+/BSnXh90XnYL4XGT/dXrPDekE4GBgTRq1Mjn0nNV8i/3OK8K3G63sNvtYvz48WLIkCHCbrcLt9st2rZtKwAxcOBAUalSJVG3bl2fSwDgM8iw1L5eRA956fyJ8LKhSmvdjmetH2W9kC0hIrTrvQIkIQeECdkU8KshEKnC/3UhlbQhkF+XL8nCYjnfApSyocAxY8YIu90uJEmqMDRoNpt9Vn0JCQkioH5nIVtDKw6LVW0hUHTCXOM6zb0C6Zyhz9+fo1JCY0Wl4bPEhebYyoc1b7nllvPW6fV6ERsbKxo1anTedWrfvr2IiIgQZrNZ6PV6ER4e7rNs9f/OacOIRO2+K7PYPHdducGDXq8XK1euFEIIsXjxYp8BxH+dSZMmndcejRo1Om9o3XcvWkNFxG3jzw4jysrZ+1zRab+/Oqwu68oMUXRlZf+qvLLjRdw2QUh6k7DUaS+CWvcXSkCYkIwWYUyoJyoN/5+IHfm2CLvxIRFx23jtGTeYhWwNEaGdhovKjy4VXYfcL06cOCEWLVok4uPjBSCqVq0qli1b9m9flsuOX/guAxd6WJ588knx2GOPXfBGLp87qPiThBIaJzBYhGINFfqoqmdfRLE1faJliK0p4BxLMCTf/00124iAxj181mHn/RS9sDa84YLrDAaD6NKly3nLq1evftEH8qabbhKAMIZGX3C9ZLQIyWARYTeOqTD3J5kDL26gUebPiM4gQrvcc/56SSeCgkO0ciTpvDonJydXcE84l61bt4rCwkIxZswYn+BbrVafW4l/3q/iT5ZlERERUWFutNwlJjY2Vjz//PPiwIEDom7duhedV/2v4nK5xKhRo0RwcLCIjo4WDz74oLDb7RW26fza+vPm9rTnTOfzSUXRC0udDiKg8Y3CWq+zMMbX0QTHFCAMsbWEpXZ7IekMInrgC5qrkiSX7ad96OqjKou4++cJfXiCCOk4TOhCYwWSLJSgSBHR81Ftzn/gC0IymEXCI58KJShKBF2niV7sfXNF4uNfiKBWfYQhuqqvjgFlPpvxDy8WsSPeErI1RNQfPlW4PF6RlpYm9Hq9+Prrr0X9+vXFhAkThNlsFpmZmf/Slfh78Edu+Ru4UHJOAFmWURTlt4fUZAVUL7IlBGTZF2hYtgQTdsMDFHy/wDf/V45ksCDcDhIeXoxstJC76i2Kd3ylrbMEl6U8kbRgyYqu7G8Bih5Fp8dq1OF2u1m3bh3R0dFUrlyZLVu20Llz59+M3Xj+nJiklVuWnVp7f2rLJXOQltW6WEvPooTE4M0/fc6uEkgKuvB4LRCz6kGSZVR7kZamp2woVbaGEm41kp2VUbabREBAADExMRw5cgRJkujQoQOSJLFmzZoL1nvs2LG8//77FBcXo9frUVUVl8tFmzZt+OGHHy5+ba52zon0Isuyr22Li4uJjo6muLiY6667jqNHj3L8+HEkSSIpKYkhQ4bw1FNPodfrf+cAVxcXSm10MS6W7SF/40cU/fg5UX0nYUpq4Fue8dGjuHJOEdXrSUxJDSja9S3Fu1Yh6YwYIpNwZRzBnX8GY6UaoDMiG0xE3PQwabOG+QKhmxLqE9rxbpAVzsx7mKTHlgFw6o3BqKUFJI1fAYB9y0Jahbn44rNP2LZtGz179mTPnj0kJSWxc+dO2rVrx/Lly7nuuusuY+v9u/jn+P4GJk+erMXz+9XP6/XicrkQQvDkk09Sv359Bg6+g+pPfkXS+BUkjV9B2A33A2VR/B0lRPaZRNL4FSQ8tABrzesI7TwCJSgKU1IDgtsMJGn8CiJuehhdWCyy0QJAWJeRKIHh6CMSSXxoAfrQSpirNAEEwa36EHbTGECLMB9316s0atQYu91O9+7dGTx4MOvWrSM8PJzS0lJ69uxJcHAwHTt2JCoqCr1ej06no0aNGrhcLp5++mli4+KQ9Cb0sTUIaNQdSadDsYagBIajC6lEeM9xxN3zNuE9ygIn602Y4mtjiK2JMb4uksFMuWh6sk8i7AUIjxNdUBRJ41egBIYjmbV0OVVHzeaL7zYAEBwczIMPPsjp06d58803kWUZi8VCZGQkLVq0uOj1sVqt3HbbbXTt2pUnnniChIQEgGtb9ADO+QaOjo6mevXq2Gw2OnXqRElJCYqi0KNHD44ePUrr1q0xmUwcP36cZ5999poTPYABzRP4u7oNrpxUJOWs7aEhqjLunFS8RTkU711LaJd7iB/9PkpgBPbDmwmo1wmAiFsepdJdM9CHJ6CPTCLz46cp3rkSc5WmAHgdxWWxQc/GOn327ps4fuQgAM2aNaNmzZp069aNO++8k4MHD2I0GmnQoAFXE9ec8Hm8Kkezilh7MIu1BzM5mlWEx/v3p8HxeFVO5pRwKKOIkzklqGV5hww6mZHtqiCjJYe0rXsf2RJMVP9niR78Inkr38CVebxCWUL14kjdi7V+ZwBUtwPZqBnSCKGSs+JVJEWPPlqzzjJVaYrz9EGQFQIa3kDxL18DYIyrjfPkTh7+v8kEBQXx5Zdfcs8999CzZ0/2799PQEAAJSUlNG7cmHXr1pGVlYXb7cbj8XD48GGMRiPvvPMOBTYbwu3AffoQxTu/RR9VhdAuI1EdpXgKMsldMZ201weSveRpkBUCG3bFfuxnzNWaE37TGHQRyVpPQ/WCwYwpuRGG6KqEdrsPR9o+PPlnEI4i9JHJeDweXnvuSRITE7FarSxZsoTAwEC6d++OwWDg0UcfZc2aNTzyyCMV2sxms/H1119js9lwu90cPHiQdevW4fV6SUn54zEir27OvsXPnDnDoUOHaNSoEY0bN6awsJCCggI6duyI2+3m6NGjyPI19/qogBDQJDHksqZX8pXtclTI7CEbLQiXHUlnwFLjOoyVaiDpDOijkkGo6KOrAJrFty4kGlNCPYp++hy11EbJge8J7TyirNyz8WH7NYtn7bgOVImNpKhIS2AsSRJOp5N9+/bx7rvvMmjQIGbPnu0z1LtauCbcGf5INvNwq4E7WiVyV+vKly0b+K8zkOsVGQnwCkHmhmO4skuwZBTy8nXJrNh9mt3bjmNMqKuZJUsyxko1MMTWxH5yJ4ayGxvQ3AbiaqMPiQFA1psQzlKEEOR+/QbeEhum5MaaaTMQfF0/3FknsRdkkTH/cQIbd8eVeRxJZ0BCok7DptStW5cDBw4wcuRIFi1axMcff0zdunUJCAigVatW1K5dm4ULF2IymcjKysJisfiEsaTk3CwKKq6s49jWf0BI24FIehMFmxejOksRZQk37ce2E9jiNuyHNlO4dSlIMoaY6gRf1xdLzdbYNi3Afuwncpa/glpqQ9IbQai480+T/u79tOjRjY0bN/Lee+8xa9YsrFYrHo8HSZJYvXo133zzDZGRkRWuhdvtZuTIkT7L1HKmTJlyWa71VYGkA6FlAi/PP3jgwAGfxawQggYNGtCoUSNsNhv9+/f/N2v7r+HyqEz/7hBzNh3H8zf0+CRANpgq9MBVlx3JYMZQnuWjjPLcfNI58mv7YTGujCPEjZ5H5uKJmCs3JnPRk8SO+F/Z6IrGqPbV0CsyhYWFPivWG2+8kR07drB+/Xpat27Nzz//zC233MLKlSt9Ft9XA1e18P2ZbOa5JS5mrDnKm+uOMbJtZR7pWhOD7tK+aM/NQC5J+OYA3F4tOrtQvXhVL26Pl71pNpo/t5LGSWGEJNQkdeunvi89V8YxnKf2EdikR4XyhdtBQFlvD9D8/mwZ5H79Ou7cU0QPmELWkslY67YHQNYbibx9AqfnjMJavxOSMQBdaCUcqXuo1G0ERp3MnXfeyWuvvUaPHj1wOp2sW7eOSZMmkZqayt69e1mwYAGzZs3i+PHj1KpVizNnzhAYWDFrwvNf72fOphPntcev619OSKs+F17ebjAh7c5PcGnUyYzrWsPnZ/TMM89ccC71QkRGRpKSeoq0fDtnMrK4744+HDtyCEVRsFqt1KlThxUrVjBo0CB+2nuItCP7tR0lCV1EEmqJDdVRdDbf2dWI8JTNz3oxBYZyY9dOLFq4gKVLl3Lvvff6TPr37dtH7969mTlz5r9d43+U/BIXc74/zuyNx/irg0RC9Wr3kuoFBMLrRqhe9Dodr9xem4EfJeDMSUOomhuEK+MY+ohErPW7kLPsBVzNbtESyKbtwxBTDdlkxVOQhacoB1fGUczVr6PkwAZUeyHBbQdSvHctruxUjFHJyJZg1NICIsxa727Xrl3UrVuXUaNGcfDgQbp3707btm0BaN68OS1btmT16tV+4fsvkG6z03/2ZtL/ZGJXryqYvfE4K/ac4eN7rvvTeb7OTXHivEAmcaF6sW1aQNFWze/JnZNCyb51FLQZSPB1/Qhv25/s1e+S9clkZGsoQdf1xVy5idZb8np8ySbN1VsivG5tSDMsDn14AiV7VoOi59Trg8DrxpV5FMlgxpRYH5CI6PUkucun4c5JQQmKJOKmsQhzMPt/3MjQoUM5evQoNWvWpKSkhOHDh3Pvvfeyf/9+rrvuOjZt2kSTJk14+umn6dWr13miB3B/h2rM23wS9+XOr3QO/Zol/KntL9TrliUJ9ZbnMaz7iPxNCyksLOTMmTOYzWbatGlD66aNWHL8iOZbKLR5x6ubMqMkQBcagycvnaKSUk7W7Ee6zc6uXbvo0qULixcv/ner+S9R/iE75/sTuC7wTP8WFQROqAiPC2SFgh8WU/DDIt92WUsmUbP7nfz8+Vzq1qyOI10bfs/6+GlAy7cY1OI2zMkNCWk/lKxPJqM6ipFNAUT2ehLQeoV5q2bhzj2F4+ROjLE1iew7Cfux7aB6kBUdqa/08h0zMMBKbGwsqqoydepU7rrrLvR6PampqVgsFmRZZsKECWzatInRo0f/1Wa8orgqrTrLs5n/1cSuIRb9n0pyWZ6BvKDUjfcizWrbtKDCDQ8Q3GYgIe0GkzZr2Hk5tOLuexddSDSOlN1kLvq/CuuMCfWIGTwVAI8tk5yvpuM6cxglKJKwbqMwJzcCwJG6l5wVr6GWFqAERRDcZoAvWkOSxUPp8ikcPHgQRVGoVasWzz33HF27dvUdZ+HChYwfP57c3Fy6dOnC+++/T1hY2AXPb9qqg5f0gvg9zHqZ4W2r8Gi3mn9o+4v1ui+ESS+TvX4+eZsWVlxRZmF7LRHYqq/2USbLmKu3JL7L3RR8OpEP5s2je/fu/3b1/nHO/ZC1/wHrzV/zZ5/3EydOkJycTOfX1rN9yZsU7/oWgICG3QjpcPfZbO5A+jv3EdSyF4ENu1UoQ3hc5K19F/uhzahuB/rQWELa3+kzcBEeN1G7P+LQlu8wm8088cQTFebEZ86cyYwZM8jMzCQyMpL777+fcePGcTVx1Qmfy6PSdfp6UvIuT/bx5HAL341t/7vJLl0elW4zNnAqz35R0fszhJj16GWJ7IvMSV4OTHqZR7rUuKwhisrbITWv9HeHl/8osgRJYRa+/QPXAS79ZWXWy0QHmVgwohUzX57CrMVfUXzmOKqjGKSypLKZx5GMVkxJDfDYMrQe+NWCJIMkYa7RGlf6QbxF2ciWEBI6DODI8v/9IwmNryT+yIfsX6VJYgifjWpz3vI/4ypxKSSGWVjzyB97nq5GrnjhczqdjB49mtWrV5OXl0fVqlV58cUXufHGGyts9+yzzzJp0iRGvvAua4qi8QrIWTFdC/lzjllwwtiPfUYfRbtWUbjlU7wl+Rjj6xDeYwy6QC1ck23TAgq2LNGGEhUZvSKxe/duqlTRjEwkScJisfi+wOq07U5Ri+GX9FV4ISQ00Z17ZzOGvv8jaTbHZSn3XIw6mW0TOl82Y55yyl8YtlLXXxY/WYIQi4EvH2j7h3rel+NlZTEoXF+whp0/beVQgYy9MBdvUQ6WOh0o+vFzUPTI5kCiev0fZ957ECUoEm9RDn+Pbbvky45+Keijq+HOOn7x/c+Jg1ruxydbgsusf78iYezHANx7fRUm3Fj7Uk/iimHmzJnMmzePPXv2MHDgQObNmweAy+WiWrVqnD59Gq/Xq/moelQC6nUg/KaxCCGwrZ9H0c9fIjwudOGJeHJTiRowBX1YPGfmjSlzE5BQAsNRnaUYopKJGfIyxXvXk/ft/85aVMoK5motCOs2CseJHVQ6tY6jhw/idDoRQiBJEs1btCS75WhUS9hvvqcuFbNeYXjbyn94BOVq44oXvpKSEqZNm8Zdd91FYmIiX3/9NQMHDuTRRx/lyy+/ZM+ePdx8880cPnyYnJxcnJXbYNuuOWaK8viPqpeYu2ZgjKmG8LjJWz2b0gObUJ2lGBPqEn7Tw+SseA135nGEx4mkMyC8XmSDkfCbxmLft47Q0jROpaZw/fXXk5KSQkpKCvPnzycrK4vX33iDU6czkQxmLLXaEdppmE9cbRs/ovTIVtw5pwhu3f+CRhsAOV/NoGTPamLvfQd9aCwA9p1fYTi2kayUI4TW74ip64MX3Nf2/SIKvl9A1IApvuHN3+PvvvH/6hARaD2wmCAT80e0+kOidzl73flr38O5ZxXrtv5C99v6UJqfjaVOe+xHtuHOScWYWB9r7evJ++ZNTNVa4kzbh3BoQcQxWsBZimS0avFOXeVBAGTg121xoWXncnb+7ZI4b7j2bHmWOh1wnTmsBQM/F4MZS3JjJL2R8JsfoXDLEop2foNFOOjRowfvvPMOQUFBFXbJy8ujZs2a1KxZk++///7S6/s3MnPmTKZPn05qaipVqlThuuuuY968ebhcLpo3b86ePXu40OswoMnNePLScZzcUXGFJBHScQSFPy5FLbGd93Ghi0xGkhXcmcfOK1MyWtFHVcaVtv+8/RRFITIykoyMjArL9VFVMMRWx5ObjjG2BoXbvyyLcSshW4IJ7/4AlhqtAFC9HrIWT8RZVr5ktBI7bCa64EiK96whf937qKUFSBIEBATw2GOP8dRTWlzPkydPMmTIELZu3YrX6yUyMpKvv/6aZs2a/ckWv3K54oXvQjRo0IAbbriBNm3asGrVKpYvX86cOXO4Y9g9GDqNwpjUCNB6fF5HEZ6cVGLvnYMkSRRs/ZSSfesxxtfWbnK3E9XtwFylGXnfvIkuIglDWBy6iEScaXtxnjlKyP+zd9ZhVlT/H39N3N7du91JhyApDQIGNiIoKgoogs3XBBP82Y0NNooKUiKIIhKiICAoKN0sC2z37Ttzfn/M3QtLKEqqvJ9nHtjpOXfmfM75xPt9Vm8610/k64/fQJKkMGHzhAkTaN++PTPWV/LUCy9R8v0ETIk5RJzRg6izLkfzVFH4+SgCJbsQwQCm2DSSr3s+XGie/+kDBIp2IgI+kCREwFvL8FX/NhfX79+h5W8CJCIadyLqQsPXHqwqpnTOW3h3/Y4I+JBMFhIuf/CIDJ8iSWTG2o7Ydfh3sX+cDThkss+hYFElQOKmLnUY3rP+Ed/j83M28P7i7Uc1665JRsifcD8InbPufIMdHz1A3rb1hr0I+gEBsmr8ewij4mh5Ea5VX4dmgP+4z+uIYLfb6dSpE8uXL6eioqLWNqvVSpMmTXjvvfdOaibggbO7Sy+9FFmWmT17NpMmTULTNFwuF99++y2fffYZPp+Pzz//nGAwaPy+ulHaEdn2cqp+mRVKUDngN5UVJJMVc2pD/Hs37Rv8gEH6HZWIXpGPtX57fHnrEZ7abSVZ7AhfbXYkp9OJy+Uy7kMxY8s+E8/WnzGnNsKa05LKxZ+ReNXjSGYblpT6aK4yCiaMIOgqI+3md1EjYimc8n94d6wm8eonMMVnUTTlcZTIWBIuvY+qX2YjmW3ENDqLG9un8eljt1BQUMBbb71Fnz596NWrFz/++COPPvooV111FR06dMDr9ZKfn4/ZfGy9QycL/7iszoKCAjZt2sTnn39Oo0aN+Pjjj8OMEm5/EPWAfsa7bSWSrJD/4f+I6nAlwYoCg8VECPSAD1vjrpTNf5fYc4cBYI5LRzJZkSTJKBwP+qn8ZTbf/CqIjY1l4sSJNGzYkPT0dO68807DJeLMoLJ4L7IjGpAIlO0FjNmebHGQftt4Sr5+Fd/ezZT/+AmxPW8CIPacoaixaeR/dC9RZ11OyawX0VzltQyfOaU+lpQG1I3Q+L+HRvD0Ci95ZR6KZ76IOTEHc9CPvf5ZlM19G3/Btj81fIok4bSbmDCk/XH375tVmfvOb8RNXeoYmZUr89hRYtT8BTWxH6EZKLJhNHLiI+jXOp0r22QQbTcf1jUF4Ha7uffee/n888/xBwIEnRkkXvssAJXLv6Bq5Uw0TyXyATNxzVVO6Xdv49u1xij+t0YiKSaCFfmYYjMIFO2L2/34UG2XehihTrE2jCdyheji/klQYtPQSncfcpslqzm6phHIWwcIZFmmefPmLFu2jOrqamJiYqisrETXddLS0tiyZQvjxo3jsssuY/PmzSets0xNTeXhhx9mzpw5eDwe+vQxMhqXLVuGw+HgzDPPZNWqVZhMprCax+TJk42D9WDIxSzw7V4HWiBEneerfREhED4XwbI9CF/tvAJzSv2Q0oqEKSYV2eLAveYAGj1NAyQURUYLlTtVVlbSokULfv31V2wN2iObrIARXtEqCozLBnzYclruO48kgRZEqyxCUs1GrWy7y7GmGe7p6G7XU/DZg+gBb7i8KADMyw1y+eWX8/LLL7NlyxYA1q1bh8Vi4b777kOSJK699lreeust5s+f/69JcPpHGb5AIMC1117LwIEDadSoEVVVVSxYsIAePXoQ1HSCBwSU7I064Vo7n5Qb3iJYtpuiGc8R03MIrt++I6LNJZTOeYtgRQHW7BZULJ4ISAhdQwLsjbtga9CB/I/uQbZGoLnKCQaDyLJMWloaCQkJfPLJJ7Rs1ZqkjGx0j8F8IAJ+4i/6HwDBigLsDdojW+xIioopLp1AcW74/syJOVQsm4o1oymmWMPYaa4yADzbfyFYWUzSNU9T/uOnbCku4flffEy4sR1j567l2Wd+x9G0O8HyAqJaX0L5wvF4tq3E2a4Ph4PNpJAcZTli1+GxQrTdzLCudRnWtS5BTSevzIMvqFNjdzXdiDemx9hQDzDGB3Ze+2Po0KEEg0HWr1/P5N/LeO6zb8LbbPXbEdH8HOO381RRNP1pqlZ8SdRZl6MHvFhS6hv0b3Ynpd+OxbVuIY6m3UHXsTfsSMXSychmO3rACyGeUBRT2LVkGLn93JD7zRBMSXUNthn/gTynR+m2PCr88bW10GAtDNUcmt2Cf8+mUIdvHK/rOkuXLg3vWlZWRkpKCvn5+WRlZWGxWLjzzjt54YUXTmpnWWPoVqxYUUtnUlEU4uPjSUpKqiVLBcZsNRAMItujjZidLIeZkxRHDMHy2u1krd8e76YlaBWF+1yWIfeyJCtGfoGqUrV82iHuUDJkwyBs9MAgCtiy1XCPejcvC+/jL85FjogJH1fx02TKF30cvq4l4wzMKfXx7VoHkkSgcAe7XhuAbLZjq3cWaAGCpXvCZBgVP01m3pJJfBfw4nQ6ueaaawBo164dS5YswePxUFZWxtdff02jRo1Yu3btacN3oqHrOtdddx1mszlcODt69GiaNWtGREQEeWUHZ3H6C7ZiSTeMiik2FUeTbvjzt6FExVMy4zmQJLw7VyPt3YzzrN5IFhtyiNnAFJNK4eejcJzRA9fv87BnN6ds+6/069ePq666yuAmlBWGPvMBlrTGxnlMVmzZLQy9LCCy1UVU/fIV9ibdEFqAQMkuotpcFr6/YGURFT98ihA6VStnGtdNyALAt3sjprg0Sr56GffGJUgmC5tWLafPW0E+G3gmzwLenycT23cf84hWUTs1ugY2k4wu4MbOOX/JdXg8oCoy2fFHTn90uM5rw4YNfPnll+Tl5REVFcW01esgfl92qikmZb+zGAkDNTNxU3QyprMuD2+N63UbrnULw39LZgummFQjllfnLPy7VhuJCTUx47AB2c+Q7DcDPFRM56D9Tzj+5NoHJr8E92UT1xCE748DCcr37jXatrBw3zvYvHnzf2hnKRkxeqEbBf2h3z1YXVprQACE3ZSyNQLd70E22xFBL0LX0P1eNHcl6DqWrBb4dq4KzyIBJGsEwlt1yDuoqqwEwNHyfBRrFBU/TED43Zhi0/BabCiRcTiadCOqfV/8ezdTuWIG5vhMJEk2Eq10DV/eelKufxHNUxUuhaoxogDODv2wRsUQ+OkTBg8aiNPpBCAlJQWPx0NUVBSapjFw4ED8fn+Y1uzfgH+E4RNCcOONN1JQUMDs2bPDhLjz5s1j06ZNLF++nK9mf02wsriWCrJrzXycHa7cd6KQoTPFpZM+/DNkk5WKZVPwbPkZe8NOVCyZhOwwRnrFs14ERcXZ8Spcq+fgL9qJ2WTm3Xff5bnnnqOispK7P13Gxumvk3DlaPa+fyeSrKA4Eyn59k0S+zyEOakuaEHyxlwNCFRnUi0Wk7Lv3iH2/FtxNOmGd8cqCiePRpIMo6RVFePd/iuxF9yJHJmAP28d+VMex3zzO9w8aS2pqamkp6cz48m+vDJlAc8EfQgtgNUko0gSAghoOtlxjlquw38Kalycq1evxul0UlZWRk5ODn6/n2uuuYaFCxdSVVVFcnIyHo8HNTqJ6LNvQKssCrs4hRYMd1qSaiayw5UUzXjOcHF6XYAwYnqyAkE/vt0bkc1WPNtWGDN4oePburT2jR3Q8e0PU0oDAns3HeeWOTVwoMJIjYrD5s2b+ezLuXTo2JHIqKh/XGeph4ySHvAAEuj7DQiCvoP29+1cZezvdRnhE29l2LAZpS4CNSaVYEku1qwWeHevD59HdSYQ2M/w2e32sBpKfEIixUWFuH6bR/xl9xs7CIFv9wbQNUwJ2YDh/rSkNsCckE3Vr19jSshGUo3vPKLZORR8PgqEhiW1Ab68dSiR8eHruTf9ROn8D5k282vWLVvIqFGjeOGFF5gwYQLx8fHs3buX6upqbrjhBtasWUPr1q2PtnlPGfwjijhuueUW1q9fz8yZM7HZ9rno5s2bx9ChQ7n00kuZveAn1MhYYnvdTmSri/DmrSNYWYy1TmuE0PFs/wXX2oUIzU9Es3OQTRYCZbuJbHUx/r2bKJ71MpFtLkVSTPjy1hMoyiXuwuHhGaAe8GKz23A6nZx70WW43B62Lf4KW6POVK00FASQFYQuCIZmFsUznkWNTSPj7snYG3VGtkZSPPPF8P17dq6mbMEH5L05iOLZYwDY+8FwXGsXIqlmFGcSkWeehyTLqNHJqFHxuHetI7/SR0Cx8euvv5IaH80Lt/UFIZA85fRmBdNu6cTsO7qw/rFezL2rG0O71v1HGT3Y5+Ls0aNHmB+yBp07d6Z3794AdOvWjfiERJxtLqHkq5cxxWeSMvgVYrrfgBIZjzmtMRGtLkIIQdHU/8O9aQlCMlzaEa0uRlJMIZkmCJbk4s/fQlTb3si2KBRnsmEUaxAykFIoOelA/FeMnoHa1MzV1fv4Wq/tewkXvLKQL3/eyie/FjL2+62Uu49fPepfQTAYJBgMhtVSav4tLCzk448/NsjjhQjF6/5CcpLQAP2AkhaBHJNKsGwP1pxW+PI3h/sTAAnZeKckCUmSwqTfkiQRn5AIkoyjcVdcaxaEj/Ht2URkm0tRrBG1L69riICXYNleTCE+z6izepN+6/uk3zYe2RaJZLIa/RTg2baSkq9fI6P/aJo3a0YwGGTr1q2UlpZSVlZGdXU1ZrOZuLg4Bg8ezK5du2jatOlfbe5TFydA8++osGPHDgGGWnmNIrTD4RDjx4+vpXpeVe0SSlRCWBQy4szzhWx3hsRQbcKUkC3iL71POJqdI+wNOoq0W94XanyWoV4sSSKyXR+RcfdkYUrMEbItSljrdxCSJcIQhZQUEdGkq0hLSxPTZ3wp0s/uX1u0M6wsjkCShSmp7j6hVdUsrA06GqrWqqGojskmUC37FkPELnS8UvtvxSQks80QopUkITtihBIRJySTVSQkJIqbbrpJPPLIIwIMZfIBAwYIr9d7sn+2Y4aHHnpIDBw4UHTq1EnUrVs3vP6ll14SgPjsi6+EKSpeJF39lLDVbStiet4kskbOEpa0RiK6x43CmnWmiGh5obA17CSwOETWyFkiquOVAkUVSQOeE0iy8R5IsgBJSGa7iD57kLA36iwi211R67dQ49IFsiIks/3wQrr/kUVJyD5g3T4RX1vjriJr5Czje7zyMdHwkdmiwcOzxXPfrBe+gHbS3qFAICAeeuihg55l4MCBYvv27WFB4kMuJqswpTSo/byyaggshwRnDzxGjkoQWBx/3Jbh77/2YrFYhCW9qbA17iokS0R4vTmpnsi4b7pwdr5GxF82QqTfPUUkDXjOUH+XZJE8aIzIGjkrJHLbVWTcM03EX/GIQJJFZNvLRNbIWSKx/+NCMllEQt9Rou6Ds8TiJT+J5ORk8corrwghhMjOzhZOp1O8+OKLIj8/XzRv3lzY7Xbh8/lO+G93vPCPLGeAQ4u95pw3EL1VP0TQz67XriPh8gcOynLUPJWUzh2Hd8cqhBbEnJBFTI8b8WxdcRC1ELKCpJgMnszDuLeAWgKetnpn4S/djVZZhGyyIlsjDqqTMiXWQXUmENniAswZZ7Dn3Vux57SievU3xPd5iOJpTxLV+Roqf5q8X1zJgJpYBwJe0q96lJu6N+azx29j8+bNBAIB3nvvPT788EPat2/PM88889ca9BTFww8/TF5eHlu2bCE/Pz+ceTZv3jzOOeeccFKJpJpBkonueh1aVTGVy6eHziBhq98OU1wmlcsmkzViJns/ugf/no1/cNWTmYTyz4RkcRhCx0BCv9EEy/dSuWwaacPeNmbV1GbGORHJVTWzu8cee4y8vDyysrJ48skna+0TGRnJlClT6NevH5WhuNqBiOxwJQT9VK/6pla805RUF9kaiX/3epBlRDAI+tHRJNZAsTvRA96Ds0iBzBFfUvDJSMPtKXSQJBRHLDHnDMXRyGCB8e5aQ+Hno0KlUjL2Bh1IuPwBwCij8uX+Hj6fJEnUq1ePjRs3IkkSq1atYsiQIaxatQpN04iOjmby5MnG9/YvwT/W8B0KY7/fyvPfbjhi5vTKlTNx/T4Pf9EOHI27EX/xXeS+aCgGiKCffTU7ErKioGv7EhgkezTCXQ6KCdWZiL1RFyqXTj6Y23E/owgSqKZ9pLX7BbqRZGRrJHpNnY8kU6tmSDJq2w7MHAOw2WwsWrSINm3aMG/ePK699tqDil//qXjwwQfZtWsX27ZtIz8/n7Vr16KqKtuLq2mQEoM5rTH+oh1IkhzueC3pTfHlrSWqw5VUr52PXlm874RhBfrTOJ4wJ9Ul7oI7MSfXxbV2IWXfj0f3VGLLbkndvvfy9f0X/qHx2z/793AZv3+GQw2OR40axejRo8nOzj5Ih7GGJ7P1bWP45c3aSun78+IWzXgOz7YVANhyWhN77jAURzRQQ0Qxz5DSCkF1JpI65E0Aqn/7jpJQWKMGjjN6hpXZg1XFlMx+1YjH2Z1Ete9LZMvDlNQcJY4HZeE/Bf8qw1fu9nPWU9/hP0J1APfGJSBJeLb/YpQhhF4+oQWo+mU2alyGIZ6qqDisFoKawOf1GBMCSUa2RoAkGZlcWrAW4ayakE2wZBeSaglRFQnMaU3wF2xBtjjQXWX7pccbs8BA2R7jb10zssn2ixlkjZxlFORXFeHL3wpCD1MgPfPMM4wYMQKA4uJiEhISKC4uJi7u6GiNTgV07dqVH374oda6W+8eydeWzmx/9jJkWxS6qwzJbEeNTkYEfVhSGxlZmpK834x53yzOlFT3DzIvT2MfDpj5hgdxB9OoybYoJNVM3AV3hMmQAfxFO8n/+F4S+47CnFyXkm9eB6HTevBjzLu7GxKEDZw3oLF4SzHTVu2uraQhBAFNJyvOQd9W6fRve3wTtY43T+apguNFWfhPwL/K8IHB3jH2+638FWWcskUfo1UWhw1fDap/n0fJ7FcY9sz7jL1/IGc/8zXfP3wZaEEcrS7EvWY+9kZdUKOTqVj0EQCSyWK4F8x2wz2qB1Fi09FK85BCrk/dW73PZSKryHYnksWOXlmECHhxdhmA4oihdO5Yo4MJ+kn/3yR2vzEQSTURe+7NOJp0o+DjexDFO3n//ffCNTiBQACz2Rwevf7TMGDAAObNm4fL5SI5OZn69euTkJCAJEl8880cKqpd+DSwZjbDvXkZyPJh3dByZBzC60YEDih1OXA2fRrHECFjub83A0CSkVQTprhM/IXbyRj+KXZHBJoQmBSZgKYfkZyV1SQjBAzpnMPwng3+tmbmH6Hc7afd0/OOmGnon4j/OlfnP6Kc4a9geM8GzPptzzFRZ6j+fR6y2ULf1hkENZ31S+aGRrkCa2pDXKu+wdGwI6XfvR0+RlJDhi/gw8j0AmtOK1yleYBAqy4JzeYw1JB1HTQ/WkmJcQLVgrPjVeieSkq/eQ17s3Nx/z6XiqVTEFqAqPZ9cTTpRrCiEO+ezSQkJjJmzJiw4auJUxxKL++fgAceeID33nsPRVFYu3YtHTt2pEuXLsgmKy5rHIlXvUBQh7L57wKCyJYXUrV6LpKqItwVYLaj2KNA19CqSjgkOfPfJHw+jSNByHgdOJ62OhCeKnRdQ1JU9rx3m8EyYrah2KMRQkN3V2JOzCam1x2418w/QJJnEJIkhWdh7y/ezle/7z0u8cJou5khnXOOmv7uVIUiSSRHWRjes/7JvpWThn9EOcNfgVmV+fSmDjhtpqM6T7CiEN+uNcQ6I1EVmbwyDxUrvwrH1QLFu0DXKJz+VK3kFd1TCSZrWEUdwP3bXCRHDJasloTdRIDwe5AsNlKHvo1kcxqSMNktkCQpVGcG1qzmAFSv+BJzSgOiO/U3/l4zD2tGU9IzMmvFKlavXk1SUtIp7eZ8/fXXadOmDRaLhXbt2oX/36VLF9q3b4/VasVkMtGiRQvcbjdz5szh61kzqNqxhp2vXMvu167FvXYB6BpVP38Bfpdh9AD8brTyfLTKotMG7lRCiNkoWLgNEfAavw/GNxAs34tWUYi1blt8ezeT/95tVC6bikAQfc4wPFuWU73q69qnC+jsKjWUOHaXHxsJsv0xvGcDkqKsKJL05zv/g3AiKQtPZfzrXJ01+CsK7Ae6OiVA/2UqKdWbydu5nQkTJqA7Euh51hkoEXHoAQ/mlAb4dq4GIQwOv6DPyDAUeijx+IAkF0UN8fLV3I3hElLjMkGWCRbt5FCuN3Nqw3AGor3J2Xg2Lw0RWvtA6CQnJ1NRUcHVV1/NZ599hsfjQZIkrr/++lq8lqcSpk2bhizLzJkzhw0bNjB8+HAefvhh1q9fjxCCyMjIw2bYnca/GCYLUW17U7lkEkp0CmpkLL49m4g9dxjVv80l5foXDzrkeBKu7y9xVfDl83h3rA5TCh506/FZaK4y9KDf+LJDnhzJbDNoEEPEFDWE9DXZmJI10thfCyDbItHdlUYYRJJRY9NRbBEEy/PRqktDNaVSaPAtQnFVE3pICQQkI3dAaAZhQ6uLwzNlOHmUhaci/rUmPy3axvx7ujOsax3kvzBoU2SJW7rVxbz9R4beODi8/qtpkwAJ3edCBHz48jaE3DkSIhgw/l+TmCI0I/a0PzTDRWpAwpSUAyYrstlKsGgHKCqS2Wa8zCHKMzB4EmvgXr8IEfQbSS2h2Uzd1l3o1asX48ePR9d1OnbsiNPpZOPGP0rXP7no06cPvXv3Ji4ujqysLHr37s3evXuJj48nPj6e6urqPz/JafyLYHygsi2ayiWG/p9Wvhdf3nrQAqhRibU4bveHJgT5lT5embf5b115f+/DoEGDwuv9fj/Dh1xH0dtD2Pb0RUTWaUnaLe+TNXIWqTe9hWyNMEqLQpAdTlJveov0W94juscQlIgYkORwdnjilY+RPPAlY19rBKaUhqBaEJ4q1Nh00m5+D93vRQT9OLtehxwZR7AkF9/u9cRdbKijW9IaISkKtvrtUGJS0T2V6N5q0m7/COGtRneVojiiSbjiEYQA94Yfa82UB3bI4p3r2lDtDbKj2EXwSNPf/4X41xo+MNyeIy9ozC8Pn8v/etYnzlE7e0nomvFi6hoWBW7vmsmyEWfTOaqUPbt3c8kllwDGRzDp4/dBVkgZ/CrRXa9DiYwxRmCq+eDZnSQTe+4tyNZIbA07gSQT0fKCsItTjU4mse8o0IL4iww3pSWtsWHUgj5ietwIkoS9UVcIkehKiomM/00k877pxnnrtgVAb34Z+fn5vPnmm3i9XhYvXkynTp3C9W6nAg7XuWiaxsKFC8nOzqa0tBRZlnG73WEGi/r1G5ykOz6NEwtjQKhXFhywWkeNTUMymRF+Dztf6sfOZy5m5/O9yX2xL7kv9mXnMxdT8ONk3vlhG7O+mYssy0RERISX8ePH/+GVaxiCbrjhhoO2de7cmc8+/YTk5GQu69wCq9WC1SRTE65QbJGgGmULCZc/hGJ3otiduDcsQndXIlkcRJx5PghB0ZT/o2z+e4DAcUYPYrpcQ8adE4jqeCWBklyKZ71kmH9JRrY4iO1+Q5ghaB97lA9TfCa27BbEnX8rpsQ6iIAPrTwfEfAimaxYUhtgr3cW5vhMrNktqP59nxrEuEXbuPiNH+n95mJ6vbqIRo9+zTkvf39KMeucMJykwvmThkBQE5sLKsW89QXi+tvuOYgxYdSoUWLo0KHC4TiYcSGuSQeRNXKWyBwxU0S161Nrmyk+y2BkOYiZwVqL1YIDWC7Ci2QwyBy43hRiyFDj0kVk60uEFGJ6iOp0tQBE6rC3hWKxi2EvfiaWby8R24uqxaBBg4Wqqie7qcOYOnWqmD59urj55pvFwIEDw+tHjhwp2rZtK4YMGRJ+3rp16x4TZpHTyz99kYQlu6WQLA4hRyUKkISkmsPfiCWtsUgeNEYgySLt5vdEw0dmiwuvv02oqirsdruoU6eOWLRo0RG/ozXsLodCWlqaWLBggbjhpqHCZDHYl8xJdYUlo6nB4oMkIttcJmRblFCi4oUak7rftywJZ5cBQo1JNb5dSRJKdLJQHDHC0fRsEdXhSrF/fyCpZpF4zVMi+boXBGqISaaGuUW1CCRZKM4kEXPuzUKOiBUoqrE+xBwT3f1GkXzd80K2RhqMRCDU2PQwo1XWyFkiokUvIZms4QVFFZLZdtKYdU4G/nOG7+9g6NChYsCAAeKthVtEw0dmh1+grJGzROb9M0TStc8KZ5cBQnLECkAoUYlCMln2vdCSLGR7tHCc0UOo0cki8crHRNxFdxnbaujOFJNAtYjUYe+IxH6j9r30+y8mq1Cjk0VC31HGC4th+JBkkXrTWyJr5CyRPXKWiGp5gQDEmws2izLXqUMzdGDnUvP3+PHjBSCcTqewWq0iKirqFOh4Ty8nfDHXHjhaMs4Q4W9INajB4i66W0iqWch2pzDFZwpLZjODhuuqx4U5IkYkJCQITdNEXl6eyMvL+9vv5v6oMXxCCBEMBsWChd8LZ7vLxf4Gy9npapE+/FOhRMQJZFWozmQhRyaIiNaXiIS+o4Qak2LsK0nhbx2z1aA9A6E4kw3jaIkQqBahJuQIZFVIZrtIv2uSAISaXF84O19dq42sDdqLzHunC9kRvW+9JAnFmSQczXoKQMRdNlJIFodIv/MTYc1qLgCRef+McB9m0DLKQjJZhWy2iq7dex7FV/7PwL/a1XmsMG7cOD7++GP6t804KEtbkhWsGU3RqoqJamO4RnVPJUnXPEPmiBk4uw0EScKa1dwQuDVZ0X1uIpr1xJSQRWyv2wFIv308WfdOxRSTgq1uWyLO6EFk295Yc1rhaHYuyCq2nJY4O12NvV5brJnN9t2D2TgnGG++pgVBVnhl/mbaPT2P5+dswH8K1yRdf/31SJKEoij4fL7TiS3/UchmO7LNGf5bSArGGw2mmDTs9dsR0awHamw6IugnUJyLo1EXACp+/ATbGd0pLy8nJSWFzp0788ILL+ByuQ51qb8NRVHIbtoa3661yFZHSB8PnJ36U7HkcyJa9MKa1cyQMAr6sOW0onjGs2HienNKA2w5rZAtNkNgNiRnZUltSLCiEHN8BnEX3oHuKQehI9uiwkK0waLtVK2YhSmpnhFmkWV8O36jaNZL6K5yUEwosWlEtr4MraIAU2wGktlGROPOmBOyKFvwAUKrHZbR/QYtWnT3wWTeM4WMu6dQfvb9xyVT9lTCacP3F1BT32MzHaLZdB29uhTJYkeNTcOSUh9JkjHHphm1fXqQQOF2TAlZ+Au3o/u9BMvykQDZEY1ii6p9PilUCKxrSKpRbund+RtlCz5g12sD8OxYBUD+R/ei2J34C7fvuxVXObLFgTeg4wvqvL94O+eN+f6UeZmDwSBerxdN0wgEApSXlyPLMqWlpYh/Z5LxaRwB9OqSfZR9gD93dfj/mrcKc1wGvvwthtp5iLTAlJCJ0DV8e7egqiYSEpMwmUx06dKF5cuXc/fddx/z+/QFdfwleYigH0tak/B6787VVK2ciTd3jVGS5KmkaMpjiIAP2eZEMlmw1WlDYt9HyLhjAtFdrwdAtkfj3rIU9CD+8nwqfvgUS0ojELqhCxiCpFoRCGK6DgAhQFIQAS+eDT8gmW2GHp+uI/QgkjUC7/ZfMMVnGu0Ul4F700/EdB9c61ncGxeDJIVljgAqPAH6j1tC4F+c/HLa8P1FDO/ZgBjZg3v99+h+D0LX8GxbiWv991izW2Cv155A4XY8O1ajeaspX/wZ6EEcjbrgL96J6kyievW3lM4dhxqfQfWaBUQ0OwfXhh/x5W/BveVn3JuXUb1mAZJixrtrLRHNzkGNSiCiRS9SBo0httcdYbmcxL6PEtn6Eip//oJARQGBsr349mwM0Xf5jfs7zjVPfxVPPPEENpuNZ555hk8//ZSYmJhaCtSncRr7YHRRus9NxdIplM55E2t2CxDCICbXdTRXOehBXFt/YeJX81m1ahVbt26lfv36TJ069ajvQNM05s+fT3V1NZqm8fE7b6L73AghsDfpBpJCxU+fk3jV/xHR+hKQJBL6jUKOiMVapzWy3YnuqcCa05qqVd/gy9+CN3ctpd8YgtqSyWIksskqwlWGCPqNrG9ASBK+vZtD+5kN2bS9m0HoRha50Im76C5E0E+wupRgdQnBikKE30ugNI+IZj0B8OVvwRSTGhbJroFrzTwkk5WSmS+y65VrKJj4CP6CbeSVe3lp7r9YZutk+1r/iVi9eaeIyG4mZIsjJHmUJWJ73W7E/O77QpjTm4T9/5LZLqK7DQzJgTwh1FhD2gZZEZLJKhzNzhGZ904XlvQmhryJJAkkSUiqRZiT64uEyx8UWSNniZQb3xDm1IZCMlmEKS5DJFz+oAAjxhdOtjmENIqz09VhX36dB74SZz8/X/iDJyeA/UdxlMjIyJMfYzq9nNzlgPfX1rCTUKKN2JjiTBLRZw8KS+6AkQiSPGiMSP/fRAGIlMvuFtuLqoUQQkyZMkU0aNBAxMTE/OE7GQgEasmbeTweEQgEhBBCeL1e4fF4RHJysmjWrJlwOp0iMjJSxMTECNnuFPYm3URiv9FCdsQIc0oDIZksQomIE0pEbDgRx5xUT5jTGgkUVWSOmGnIY7Ev8aXmuWti9n99kcIxugO3RZ51ucgcMVMkD3xZyLYoYU5vIpTIeAGhhJernxJIsojq2F+Y4jMNCTfVLFBMImXIm6LOA7NEmcsnJk2aJDp06CBsNpvo1q3bQW0ICLvdHpaMu/HGG4+qnzgR+NdRlp0INK+XyYZfl3Htu0vJr/Di3S9+JikqKQOeO+gYEQxQsWQSwfK9Rq2frOLsdDXO9lcA4GjWk0BxLnrAiym5HolXPIIaGUewqpjCKY/jy1uLpFqQzDZ0vxt7w45kjZyFe/My8sffHVYUd3a5juhOV4WvW/37PPZ+MNxwhQqdsvZ9eKlpIiMu2Ccq+eijj/L444+jqiqZmZl8+OGHdOnS5Zi1V408jKZpaJqG1+tFVVVUVcXn8yGEICoqirS0NDZs2HDMrnsa/yCoZpTIOINmLuTG9Gz5mZoiXN3nxl+wjeo1C/DnbwHFhNB1TDGpyBY7SmQ8nsJctMpCRFw2JSUl7Nmzh759+/7hZZ944olaCg4TJkwIKzg0bNgwzIpUo3ZyoIKDe933APhdZYdUcAiU78GW05rEPg8jSRKJlz9A8ayXca2ZV4vPVHUmEtnyQsoWfYQIxesPgqygOGKMIvqwCoxABLwoMaloZXswpTTAmtaEqhVf4N2xmrxXrkb3e5FMFrTyfOIuvIvCzx/BlJhN8fSnQego9kgSr3ocNTIOEQyw6/XrKJ7xHGpUAsljrsRiUunWrRsjR45k/vz5nH322SxduhRV3Wc+Vq9eTb169f7CD35y8a9lbjkR8Ad1Xpm3iXd/3E5A09H/oCXdm5dRPOtF4i/8H4HKIqpWzECrKMTeoCORrS+mcPpTKLYohN+DKbkegaKdaJWFmBJzsGY2I6b7Dex57zaCpbsBDLaYUAwgovl5qHEZlM19y4gJmu1YUuoTc+4wfLlrCFaX4Nm8lEDRTkBCttopKSkl2m7m66+/5rLLLgNA13UsFqMuqVOnTnz77bfHpJ3+qjxMfHw8n3/+OT169gRkJEU1mHFO418LyR6DcJfVXhnS8dtfk1KNSSVYUYASEYclrSEJlxmqJOWLJuBdN49oi0xFRQW6rnPmmWcyb96848Jb+3cVHIQQlMx+hWBFAYn9RlP502Q821aS2G8UKCpFU/4Pa2YzghWFuNYuQHEmEnFGDyp+moxsM55Dd1VgTOogvveDWDOasHf83QgtgCkmhYjm51HyzevIFjspg8aw+61QjaLJgqxa0D2VSGYbkmJCMlmJ7nwNEc0NrT0RDJD72nXgdxPTfTCZnS5l6YPnsWnTJpYvX86ECRMAg0x+yJAhgKHnt3nz5n+U4Tsd4zsKmFWZ+85vxLIHejKiVyNy4uyH3bdy6WRiegzB3rAjpqgEYnvehGyNRPNU4dn6M7LZRuw5N4FiwprdAq2yEMkWRaBwO86OVxGsKkZzlaFEJyOpZjLvmUJM98FYM5oSe85NRDTubASoZYWEy0diq9+O4hnP4WjSDff6H4hsYxg3W4MOiGCASSt2AXDzzTfTo0cPzGYzV111FS6XC5fLdcyMHhiGTxilM+Fl9OjRAOzYsYNRo0bV2r+4uJgePXoYo2GhnTZ6/wEcZPTAMHhaYB+TkWIyPCaAOTGH2PNuDe+adPY1tO92Ll6vF6fTybBhw1i0aNFxI2s/VIb3kaB0zhsESnaR2PdRZJMFZ6f+mFPqs/vtoewZdxOmpDo4mvYwlEcArbKIiqVTjMGf30Pq4NeQrRHI1kiiuw2k7Lux7Hl7GLIt0ih0FwLN5zLEmc029rxzM0pUAgCmmFRDmQSw1m2DHvAi2yIIlO0hULaH3JevJPeFy8FXjepMJOqsyykPKKgmM82bN//D5+ratSvJycn06dOHHTt2/PWGOcE4bfiOAaLtZoZ1rcuCe7uz5YkL+PLWTgw4K4Moq+EKqMk6090V7B57E6XfjcO9eRm6txrZ6iBQutsgqA6xsbh+n1v7AkJQNncc5qS6SEiI/cRuaybssjXCCPYD/qJcJEkmWLaXskUfEdnyQmxZZwIYadayypSVeWzbto3c3Fw6dOiA2+1m+vTp3H777Xg8JzYBpsYwPv7442RmZtKtWzcmTZpEXFw8AKlD3iLj3mkn9J5O4zjAbAckYkIGy5LVPPzOIitk3jud9OGfosSkAxB73q2k/28i+D2gmsm8dxpZI2aSdf8MEvs+YjCn1EBW+eLTDygvLyc/P59XX30Vq9V63B7lDzO8D4NgRSHVq74xkkdeu47cF/uya0x/LOmNSb/lfZSIOFy/zSX/0xGYEjJxnNEDS3pTZLMdSbVgTqxDoGSX4SKVJJwd+pF++0dk3DUJ3VVOsGwPvt3rKZ/3DgAx3QaSee804i+937h+eT5JVz0OQCB/K7HnDAWMBJe979+BJClY0pugxmWgxqRS8Pkodr1yDZ26duP333+v9SwPPPAA8fHxdOrUiTFjxrBjxw42bNhAamoqF198McHgqS32fNrVeZwR1HSWrd1C5zMbYk2pT0LfR9B12PPuzUiqGWvmmfh2rUEP+Ei+9mkKPnsIJBndXYFsi0RxRKNEJSB0HUlR8W79GTAUru1n9KRi0XgS+47Ckt6Y3eOGhljvjbiIo0Uv/Hs2kDJoDFplMbvH3ohkjUA2Wcm5czw5y8cwd+5cWrduzfr16wGDni0jI4Pp06dz5plnnrh2CgZp3Lgx9evXZ9euXaxZs6bWdlNaIwK7T8f//rEIxbMke7RRiuB3o0TEIlkjCBbnYkrMIfWG1wDY/e5tBIt37tNNlAAhkXHXRGTLwV6Vk6Ut5w/qnDfme3aVetCOcTdaQ5wf2epCTHEZSIoJ1/pFlM4di2SykHDp/WHlFs/2Xyn+4hmSB76EZ/svVC7/AsUWhSW1ITE9bsC9cQnFM19AiYwn/bYPAahcNg1v3jp0TyURzc8LuzoB8j8ZiW/XGhL6PootpyW9xK/Mnfox999/PxMnTuTZZ5+lSZMmmM1mJk6cyO23386qVauoW7cumqYRFRXF0qVLadas2aEe7ZTA6RnfcYaqyDTJMFwNTz9yHznpqVQueBfVmQwC/IXbiWjRi5iuAyic9gS6pxJL5hlIFhvIMpFteuPbtYZA/ma0igJjVqioRHcdQMUPHxPVvh+lc8eS99r1oGsoEXHE9rrdiO/tXE3sOUORZAXP9l8AiO5yPUgy3i3LKa8yinvvuOMOunXrxu2338748ePxer2cf/75lJeXn7B2GjZsGFu2bOHrr78+yOgBp43ePx0hwyDc5eA3kje06lKCIfLpYGURwaoSguX5htHD4Ke15rQ0ynfQ8e5ef9BpT6a2nFmV+WRIe5x203GTL7KkNkS22JFUExHNeoY5fWvg272B4i+fJ/7yB/DtWkvl0ikkXf0kCZc/QLCigLw3BlH58xcGt6jdue/Ef3C/Uii2aklrjKSYuPKGWygpKWHvXsPN3K5dOyIjI7FYLAwcOJBOnToxe/bs/U4tnfL1uKcN3wlATEwM6enpxNjNZK/9mATVS1zHvkgS6K5SqlbOpHzJRPTqckDCu/0XRMCHJKtGjEsLgqKieSrxbP8VtCDFs1/BVu8sdG81qUPeJON/n6FEJaB5KrFmNMHRpCvBsj0UffEMu8b0p3TOmwBU/PARIujHvWM169b8jizLDB8+nAULFvDGG28wZswYkpKSiI6O5ocffjhhbaSqKgMGDAjHABcvXoyiKFx11VWkZ2SesPs4jRMHJSIOe+OuWDLOQHir2f3GQHaPNRImkGQsGU2IPWcokWeeB7KC/4DBz6mgLZcWbWPm7Z3JiLX9Jbfn4bA/cT5CD9fiAvtUYAChB/Ht3kDh1MeJu3A4mquMskUfkXTVE5iik1GdiST2G0XG8E9JGTQGJSoB3edC97kJVhZTtWoOtnpnAeDP30KgJA8hdDR3BcGqYiSTNexKTnMaCW+apqHrOl6vl0DASDhau3YtVVVVaJpGdXU199xzD2lpaTRu3Pio2+J44nQ5wwnC4MGDue+++8jIyGDhrC+4sv/VOOrUpUqJwtxhAIHyAkq+fYtgSR7C7zUMXXUpZQs+ILLNZUS1vgT3lmWUfz8eyRRB6uDXKP/xE0MDLOBF91QRLNuDOTEb1ZmEDqCYiDzrcip/mkzs+bdSOucNYs67lbIFHxB/9nVMeO9FPnvvdebPn09WVhapqan8+uuvXHzxxUyZMuWEjtqaNWvGhx9+iMViQdeNTDlN05g0adIJu4fTOAGQFdB1TKkNCezZgHvDj6HZhxTWqVOiUxC+aiTVzJ737zRKGnStFruIzaSw/fVB7PZU0PAZg8yhY8eOxzQp60iRFm3j2/91C2d4SxKHzfYMlhdQ8u2bhhFXTTgadiIm5JVxb15GyexXDDHrEFxrFxDV4UqcHa5k1ytXhzNcCyc9CkDMOcOw129H3puD0V0V7Hn3FuNAWcXR9Gziet2Ga/2P6K4KBIJdL18Jsoq9STccTbrh+m0unp2/UfXLrP3uUgJFxbNjFdbMZoy6+xYqKyt58sknAbDZbAwYMIAPPviATz75hJ9++olffvmFp556io4dOzJr1ixMpqMTAj/uOPGlg/9NbN68uVZxqaqqQlVV0alTJ7Erb7do0LhJmL3dWq+dSLv1Q6FExgvHGT2FbIsUkski1Nh0Ed3jJiFHxIrEq/7PKJ6Pzzpk8aqtQQehRMQKc0ZTY7sSIr2WVYFqFnVGTBcut0f4/X4xYMCAMKv9LbfcIp588kkRHx8viouLT1j7TJ06VTRt2lTIshy+F1mWRXx8/MFFu6pFwMHPfHr5Zy/m1IZCjU4WEe2uEGp8ppDtTgEI2WaQG2Tc9blo9Mhs0eDh2eL5ORtEVlaWmDt37gl7R48EZS6fGPv9FnHOSwtFvYe+Eo0f/Vo0HfWNaPzo16LeQ1+JuEbtRPvzLxfLN+8VNptdSJIkTGazsFgNgu7zLrpUeLw+0eGi/kZBf823LRmF6vG9HxDpd34iJNvBhA+SySYy7p4skq591ji2hgA/RJiRPGiMyBwxU0S2ueyQ7Z909VNhsouEyx8UanSKkMw20b5TF7FmzRohhBCFhYWiTZs2IiIiQjidTtGuXTvx7bffnuRW/+s4PeM7BghqOnllHtx+jVKXj1iHGbtZJT3GhhpywdSrVy88g9q/rm3x4sVkpKcxatQokrtfV7s2SJJxnNE9rAyfP+F+KhZ/AkJQNv994nrdjqNJNwBcG36kfNEEtKpiI1NOC5B45WOYEw3qI+/O3yj47EGDFFeHbc9ezoVLu7Fw4UJGjhzJ6tWr2bp1K5MmTaJFixZ8/fXXxMXFnbA27NOnD6+++iq9evUiLi6O4cOH06FDB+rXr4/VaiXljA78/M1kY+dgAPj38gj+2yFZIhB+Nwid1GFv49uz0aDvEoZWnb1hJ1y/ziaqfV+qVs7EHJ+Jb89GGmYk0q91Ole2ySDabub1k/0gh0BNhvewrnXD/YIvqGNRZdJjbDSbeg+P3Pkobesl43a7uO+++6isrKRBgwaMGDGCh+6/B6vFTEFMUxBTiO/zILbsFux+czBKZDyORp0AsGW3xL1xsZGsIinkvXotlrSGyGYb1oymKI4YJNVMyqCXqVw+nYrFE426PUnCmtOSqhUzSLv9I9SIWMp/+IRg+d5wsgyAvWFH7A07AmCNs9OgkeG6TEhI4Oeffz7h7XqscTqr82+izOVn0opdTFqxi50lLqPkbL/tkmQko2XHObiyTQb92xof6x+h3O2n3dPz8B1nJQWrSebucxowtGvd43qdP8Prr7/Ohx9+yO+//47D4aCsrAz4ZwTHT+MYQZIxJeYQ1bY3JV+9TOqwtzFFJ1O5YiZl894BWcacVA+tuhhvaUF4IAmQnZ2Nx+NB13VatmzJ888/f0Izkf8Oxo0bx+LFixk7dixlZWWcf/75PP7440ybNo2pU6ficrnQdEHdB2eR+2JfYs4eRFTby9j9zs1o5YVk3meU9eR/9hC+navJ+N8kguX57P3oHtToJNKGjkP3e9n18pVY0puSfO3T6D43u9+6AVvdtsRd9D9Kv3uX6lWzybzvCyRJovyHT6hcMQNJklEiYolsdTGRrS4M37PVJDOkc50TnjV7PHHa8P1F1LC1vPPDNjRdoB1B66myhCJLDOmcw/CeDTCrhw+CPz9nA+8t3v6XGSH+CiyqzLIHev6pIT7emDZtGrIsM2fOHL766is8Hg/FxcUAWK1WvF4vAPaoGNxuV5jK6jT++VCcyWgV+cbsz1dtrJRVMu6cgNA1Cj4ZiaPp2Tg7XoVnxypKv36VzVu2kR3vCJ/j+0U/kJTTGG9A49P3x/LRu2+xYcMGoqOjDznbAg5ap57gpJj169czYMAAVq9ejaZpDBw4kA8++IAOHTqwcuVK5s6dS2K9ZrQ+uxferStAklGiEtGqi0ELojiTkM02o55P14hocxmejYvRqopRIuOwN+hkxOtETf8hIZmM71wEDkMEIStIsoq9cRcQAtfa+UiKCXNKA2J63kTxzOcRfg99L7mAaZMnYTabw3JPDofxe/Tv35/zzjuPUaNGkZeXR0ZGBk899RS9e/c+zi3693Da8P0F7C73cO27S9lb4cEX/OvNZlVlkp1WPhnSnrRo2yH3qakN2lni5nj8MCej5mn/md3VV1/Nhx9+CBg1g9dccw1z586lsrKSN954gxEjRuB2uxk8eDDvvffeoU9oskLAe8Lu/zROABQTRsaiCPFQSiE3/914dqyiZPardHz4My45I5W9lW5+3FpCcZUfVQFVURBCsPWNoaT1uomohu1w+YKYFBlZkvAFdYIhPkGTImFWZAQQ0HSy4hz0bZV+RB6Zo4Wu6+Tk5DB06FDuvfdeqqurueGGG0hOTubdd9/l1Vdf5a233iI3bw+BuLoEinagxqaCruMv3I41qzneXWsRniqs9drg3VLjcjQkzCJaXYxn00+Y4jPw7dmI4oghse8jeHatpXzBBwi/m8iz+qBGJ1O2cDz4qlEi41GdSZjiM7BmnUnZvHewNzmbYNleTHFpuH6fjxqTQrAin6i6LbmuZyteeeHZg2jKdu/eTU5ODjNmzKBXr17Mnj2bfv36sWPHDhITE49ru/4dnC5nOELsLjdkfXJL3H/L6AF4gzq5pe4/lAeqqQ2KcRz7j/Bk1Tylpqby8MMPc8MNNxy0rXPnzvTu3Rur1UqTJk2QJAlZlnn66adr77ifLtlp/AuhBw3DJwSOFr2Iu/guXGvms3f83RROfBh0jdxSD28s2sq0VXsprPKjA34N3H5DektI4PIFqfAECergCei4/FrY6AEENIHLr+H2awQ0wZbCasbM23RCBJtLS0vJzc3l9ttvx2KxEBcXx+DBg/niiy/o3Lkzt912G2vWrOGLpetJuPRedG81ij0a/95NxJ47jMQ+D5Ey4DkURzSB4jwA1Nh00u/81KjNzf0NzV2OHgwgAj6DHjEug2DhdswJ2cg2J6rdSVTLCzA5jdpiraoYZ8crcW9cQrCiAEt6ExR7FEhgyWyG5irF2aEfAP6gYNKKXYfsu/Ly8oiOjuaCCy5AkiQuuugiHA4HW7duPW7teTQ4PeM7AtTMwnJL3MckpUKWICvWzrd3dTts/dHucg9Xvf0TeWXHhj6spuZp5u2dDzvb/Dvw+oOs2FmGy6fhsCi0yYpBVeRDupQefvhh8vLyaNOmTa0ZYHp6Oi+99BKTJ0+md+/eteiOkrIbUGlLwb97XYiV5jT+7ZBMFkBC7DerVyJiSbv5XZAkJMVEsKKQYFUxlpT6IASVK2dSuXQqqUPHHizqfISwmWSSov7YI/N3sL/Hw2w289BDD3Hvvfeyd+9eGjVqhNttFPSnp6fz1ltvkVCnKd37DMC783eEt8o4SSgxRQT9qLFpYbL6MBQzaH5kayS632MMJCQZFMONKfweUEwk9HkI3eem5MvnCWclSDJIEon9n6L0m9cIVhUf4FExZpTWum3x716PLEkEPVXExMRgNpvp2LEjzz//PDfccAP33HMPF110ETNnzuT2229n48aNYXfoqYTThu8I8PycDby/eDueYxh3OxKXoz+o88RX6/h46c6jcnvaTArJURYmHKMPentRNY/NWsfircUEDhPklACLatRmBTVBdpwd06+TiRFV9O3TGwFMnzkbl9tDWloa4157+ZD8fpKs1OImPY3/Nmqkf/xFOyn+8nmC5XuRFDPmpByizx5sGMKjwPEYIO4fy969ezeVlZWsXr0aKcSeUl1dTUxMDFarldzcXKKiogiktcC7dQWyNQKtugRMFtA0CBO2G8bIktOKiGY9KZn5AmHWbElGsjsxRacQLMk1SCF8rv0e0oQSnYJWkR+Km8scMktaMZFy/UsUfPYAurcaVDOW1Eak9b6HRq7f+H7iWPr378/06dMpLy8nOjo6LNZrNpuZPHkyF1100TFpw2ON/4zhO1Sc6fXXX+eDDz5g1apV2Gw2XC4XCxYswGq18sgjj7By5Uq8Xh8ejxtUS/hFje11O9Wr5+APKSFLJisIHXNKfaLa96Noyv8BGB22FgQEksmKvWFHYs4ZRvUvs6ha9Q26p4q46Eh8Xi+JiYk8//zzLF68mBkzZpCfn09aWhoPPvggazdu4bmnHiep/xOG+vQRwmqSEQJu6lKH4T3rHzW7RbU3yPUfLOOX3PK/dXwN/2Cdvvfi9mvh8gslMp6SpdOwxSThKcoDBCaTidbtOrBy/TbsTXtQseijo7r30/iHITSDQVJA7Bv4KM5E0m95//heWpLIjLX9oUfm76DG41ET4waDqs/tdrNgwQImTJjAnXfeyahRo7jjjRnsXfBxqOA/9PyyQtrQt6lYOpnq3+bup8lHiNdUR41ORrI4CFYUGLO8/faJOfdmIs88jz3j7yZYtKPWvUWedQVVK75AiUwwDKKsGOcMMcggyWTeO5XS797Gu2M1EgJRVURkZCQTJkygT58+mEwmHA4Hbdu2ZdGiRVRVVXH99dfzwQcfhPvOUwX/mTq+mjjTnDlzwuoDqampjBw5kjFjxhAVFcWqVasAKCsrY+jQoZx//vlcdesIvvvqC9SYVJKuMgyab89GIpqfSyC1IdWr55A6dByy2UbF4s8onfMmmfdMAQz+Qc1VTv5H95B8/YtU/PQ5xV88TbCymKRrnqZg4sMo9gh69+rFoEGDuOSSSxg8eDAzZ86kQYMG/Pzzz5x33nnEx8eTkpLCm9e2Ym9EfSb+vIu8shDf4X7DFlkCJSTcmR3nqFXzdLRYmVvGlWOXHFEW65+h0mt8jH5Nw1uwA23LSgj6a80eA4EAy35eifC5Thu9/yK0UAavqD3b1yoK2fnsZUa9kB7EVq8diX0foXrtAkq/eWPfjkIggj6SB43BklwP787fKF/8Gf6CrciWCNJvrW08yxd9jHvzUgLFu3B2vApzj+t5Zd5m7j2vIV999RVPP/00a9aswWq1cvHFF/Pyyy8fE8mjcePGAYabs7S0lE2bNtG0aVPuf/AMxrS7irJFH1O5bBqyxUHGnYYWHroekhfSkB0xpN8+nsIp/4d36wqCVSVENe5K5c9f4OzUn6pfv0avLgMElrRG6EE/elUxSBJpt37I7jcGAhAo2w1CYG/YgaoVM0EPItsj0N0VofbUyXtzMM6O/an+9WvS+v8fOdVrqcxdzzPPPIMQgrZtDXWZH3/8kbVr1zJkyBC+/vprxo0bx80333zUbXUs8Z8xfH369AFgxYoV5OXl1Vq3evVq8vLyUBQjgeKCCy4IH7exyIMam4Yvb114nSW1IZbUhnh2rMK1blGY0y6ybW8qlkxC81Si2KJQoxKo/m0uloymqM5EJEnGX7SDqLMuRwS86K5ypIvv5vPPH2Hs2LF06tSJmJgYGjVqBBhksBaLhe7du/Pdd98RYTVxy9n1uOXserXStWsGpZrOcUnTXplbxhVvLTlm56uBb9c6Avlbwn8HS/Nqba/lnjmN/zxkRyySqqJVl4cNo2fLMnY+czEAyYPGICkqhdOeQivbA0D+R/eSNuxtJJOFiObnIoLdqPjxM/In3I8vbx2Saiah76OoMalEtLqY8oUfULFkEhWLJ3KfJPFpy5b0v+pKHn74Ybp27YrP5+Oaa67hvvvuY+zYscfs2YQQPPnkkwwcOJBGjRoRn+pmzLfr0H0u0HV0XUcP+vHl/o5r3feYE3Pw792E7nVR8dNUvFsNEnrZGolksqLGplG5bLoRJzVbwe9Bc1dS+s3rCKGjxqajVZeGr+/L/R3Z6sCzY5URHzTb9xk9DOHr6C4D8OYZROEV65ewZP1CPnz3ba6//npSUlJYvXo1brebPn36UFRUxM8//8zAgQP58MMPTxu+fxKCmk65J4B352+ga+x599aDijv3h2/XGhRHTDi4LoSgetU3aN5qdr3UD8lkwZxUd58vPrSPz+dj3YaNCCFqKRN88sknVFZW0rdvX7777rta11IVuVZN0/FCtTfIlWOPzugJXTNcJvsR7yIrWDPPQI1KJP7CO8h94QrUuHRSB79C+ZLPqVwy8eAThaRtTuO/Cd21r6Ouce3tj/yP7sGcVBetPJ+aGBh6MKxALpmsyI5otOpSI24GiKCfwokPIzuTwO82iKAxEmwkRWXztu1MnDiR++83NO3sdjs33XTTQeLJR/Vcuk5ZWRkZGRm8/rrBR/P6S8+x8/nH9u3krWTXy1diik0D1YR/7yZjveanYtH48G5qZKzhIdm/fUKJKkWfPxraSyLo20X++Lv3nV+SSLzqCcrmvUMQwO/BlJhDsKIQ4XMhgj6qf5+Hf49BFF79+1yQZO66y2CVeuSRR/jyyy/55ptvmD59Oj/99BMPPvgg3bp145133jlmbXWscLqc4Q+QV+bBnlIHSTWT2P8JYnvdQcXiz3Ct+/6gfYOVxZR++xYxPYeE1/ny1qL73GTc+Qlpt31I1Fl9sNZpTfXqb5EUE7ItkpJvjBf9/96ZzPfffx/O8KqqquKWW26hXbt2nH/++SfmgQ+Ba9/76ajdmxWLJ5L7Qh8ql07BtXYBuS/0oWKxYdg8m38i94U+gCBYsovcF/pQvXqOUdelHuCi3S94j3KKk+CexnGFEmmIFJszDM03yRpJ5j1Tke1RoQ4/9K6Y94nRRrS6GNkaGdom4Wh5IbI9GslsQ68qDiuVy45oYrobxtJVXcW6dfu8PQCLFi2iadOmx+Q5hBDceOONaJrGY489FiZ3Hj16NJvyK8keOQvZFoVsjybrvi9IueE1bDktsdZpTcZdk7HmtMTWuAtKVKKhzlJdStzFdxu1rrJqLKHvRrJGEnfh/4jq0He/djAGBKbYdKNsRDHmQmpcBjHnDDUGqaEBZ7BsL45mPQEjz6Hh/ZM576JLkSSJZcuWsWHDBmRZ5pdffmHbtm3cc889OJ1OqqurTzkmpv/0jK8m4eXXX38lJycnvL6msPqHxUsozN8LsrIvYSXgo+TbsVQsmUSgPB+0ALmvXI3wVKM4E7GkNSZYXkDx7DH4dq1FMlnxbP+V0m9eR4mIRUgSsiOGPe/cUmvEOmfaZ/S88DIsJoUrr7ySadOmoes6tqhY1uzID++3Y8cOBg8ezLJly8jMzOT111/nnHP2iUgeCv369WP27Nm43W7q1q3Lli2Ge/HKK69k6tSpYTWE5ORkvF4vFosFh8NBfn6BwZhSC0YMMbLVRbi3LDtkiYGzy7XIJitl8w8oQJdkTMn1CORvCRm+Q38MAkIs9PsFxE021OhkgiW7DFeMdpqr878MrbIQgGBFAbBvhqZGGPyyalyG8a4E/OHZj1ZVhDm5HoH8zciOaGSTFSUihkDRThACS0pDtIpC9OpSSr81ZLys6U04r1W98HXnzp3L+PHjWbZs2RHfazAYJBgMomkamqbh9XpRVRVVVRk6dChr164lLi4OSZLC358kSSQ7ZITfRQ2PtOapovS7t9Fc5cT0GELR9KcQiglRZcxgZVsU0Z2vxtG4K641C9CDPoJlewAJ3VVGUr9RmBJzKPnqZXRvFUnXvUjBx/cYgwgtQPqdE5BkhZ0v9EWrLqFw0qPI1ghksw3d5yLjzgkESnfjWrOQyiWTqPh+PBfeORyr1cpXX33FsmXLaNmyJZWV+9QlKisriYiIOOWSW/5z6gwPPfSQGDhwoBDCUASYPn26aNWqlahbt65IS0sTCxYsED6fTzzyyCMiITFJSBZ7mLU84+7JAlkVijNJJA8aI+IuGxFiTpeFtW4bEXVWH2FObSjMqQ1FROuLhWS2i6hOVwtkVZhTGwpTQraQVLNQImJFyk1jRXSPG4Uls7kARGL/J4Q1rbGwZpwhFGeyQDEJyRIhJEUVkskikGSh2iJFTGKKuPX2O4Xb7RZTpkwRTqdTFBYW/uEz33fffeKcc84RqqoabPeyLAYOHCimTJkiZFkWUVFRtVjarVarAIQlMkaAdBg2fSnMnn+oRYlNO+ls/6eXf/Eiq7X+liwOkXbze8KSdaYAhCXjjIOOib/8QSFHGmofSlRirXNIJquIPf9WIduihDmlQXi94ogWi1YYygQ//fSTiI+PF999991f6nNGjRp10L2MGjVK7Nix45DP9vLLLwshhEhKSjpom2Syioy7Jwtnp6sP2SZJ1z4jkq55unY7SYZKQ8wFd4rM+74Qsj36kNeNaH2piO5+g1Ai44Ulp5Wx3mQVktkmojpfI9JueV9YMs4QUR36iayRs0TjR78WD4x+UgDip59+EkII0aFDB/H222+Hn/29994T7dq1+0vtdSLwnzF8gUBAeDweMXLkSDFgwADh8XjCS/v27UVOTo5ITU0Vs2fPFlu2bBF16tQRzz77nJCtkSLhikdE5oiZhhGTZBFzwXCRee80EdGilwCEGp8pIlpcKDLunhKWA4m94E4h26JEXO8HhGS2CVuDDkIy24UamyasdVqLzBEzRfzlDwo1Otl46VpcIBRnklBiUoRsd4qUIW+K9Ns/FtFdrxeWjDOEEhkvYs4ZKpAVUe++KeK5b9YLX0ATnTt3Fm+99dafPv/UqVNFWlqasNlsokGDBmLgwIHi3HPPFZ06dTrI8EVGRoqIiIh96yRZIKmH/FiOz3I4Y3t6Ob3ULLJA2u89MduFGpNqfH9IQo6I3bdNMRn/1uwvySJpwHMiqmN/AZLAbBPIiog5Z6iQVItQIuNE3CX3CSUqQUgmq0hJSxeLFy8WCQkJ4ssvvzx2fVJQE5sLKsW89QXi27V7xcKNBWLt7gqxvahaBIKaEEKItxZuEQ0fmS3Sbnk//CySySokk1UgK0KNThFRHfoJYN961SJAEtHdbxBZI2eJ9OGfCnuTbkK2O4VkcQjZ7hSWzGYi43+TROZ9XwhLehMBhuyRtU5rkdD3UZF57zSRcc8U4exybVjKTHZEi8izLhfJg18VmSNmiqzbPxAWi0VIkiQcDodwOBzCbDaL6OhokZeXJ3bv3i2aNGlyRP3TicZ/po5vfymgGnTr1o3vvz84XlcDh8MRJmMFkFQLloymONv3NSR+DoBksiICXiS7E0tSHXS/J1TrJ0BWkK0OYs+/neIZzxpOPEU1iGOFjjmlAfGX3suecUOpRSwbDGCt04pAUS4RzXri2vADaTeNDbNMZG+cRKTVxGuvvfanbdC5c2fWrVtnqMHHxJCUlMT27dtZsWJFeB+TycSZZ57JunXr8dvjCRbv/NPznsZpHA/I1kj0GuYSAIsDQpm+amw6WlXxPnYXWxR4qpDsUQh3Bab4TALFubV4XZX4TLTiXYAAswP8oW9bVkCSMKU0ILBnE9bMM4hqexklc95Ed1dgNSnYbDbefPNNrrrqqqN6pjKXnw+X7GDCsp2UuA5Pui4B2fEOLm2eythFWw9SbAlWFBpJO4oJaT86v9hetxEs20vFj58a9cX7oabMSvNUUjp3HN4dqxBaEHNCFjE9bsSSapBplM1/n+rVcxC6hiWjKbHnDsMUkwqA7q0m/5ORBMv3YrLaufu2YTzxxBPhjHghBCNGjODdd98FYMiQITz77LOnnKvzP2P4/giHKiytQUxCMpEX3IUekcjusUPCsikAxbNfIViSh+73kDLwZSTVxO5xQxFCJ/3md6lc/gWBst3I1ki8ub8jSRJJVz9J2fz3qVo5M8S8noAI+km49D6sWc0JVpVQMuslI5MUsGafSWK/UUiKieo186n65StSrn8RMAptXYsn0DVN4fNPP/7T56wxfCkpKeTl5bF27VreffddZs+efZDG1pltO7Kh0IVv5+qDOyA4ZFZdrc3WCITP/Yf7nMZpHBqhjMwDsX8xt2o2WEfC/1qMuLCsGqUOiimsVn7Yq5hsiMAfUAIqJiTVjBz0ous6drs9vCkrK4u1a9ce8RP5gzovzd3I2z9sQ/8LPa4cagpZlmpxjp5snCrSZn8Xp7M6/wR2s4oQUL1mPpb0JmGjBxAs24u/aAeJ/UYjqUY2ltACEAwQrCqhcuVMortej/C5kUMZiuWLJ+LP30zarR+Sed90ojtdje6uQA/VJRXPeBY1No2MuyeTcffnqNHJFM80DJ1sshrGJARNCDyuKpbkVhP4C8keBQUF1KtXj/T0dJYvX87GjRtrbe/evTuFPplA4XYAw+gpaqhoNoQ/MWjC50axRx/xPZ3GaezDAR28rCBZ7KBrqLEZxroaiapQaYxstqJEJ5N0zTPG+kMYPVujzkR3HwyAZLEjQgbSnGkIsJrTmxpMMTVJVVoAa1Qs06dPR9d1qqurw8tfMXq7yz30eHEB4xb9NaMHoAuDTOxUMnpgOLGubJNxsm/jb+M/ndV5JJAkuKhZCu/PfpWodn3D66tXf4tv7yYkJHaPG4KjcTdiz7sF3VWO0HWKpj2BVlFA3itXG9x5iorQdXx7N2HNaU3BJyPQPJXIZhsInUCZkZ3my9+KZLKy5+2h6AEvqjOJQIlBSGtKyCJQno/ucyNb7BR/NQbX799h6jYgzDKxPzVbixYt0DQtTNMGBiOK2+2mrKwMWZYRQoTdFACKorBx02b27t5NrQ5IF39t9iZ0tP3rrk7jNI4YNW6x0Puna8aAT5JAaAfP5nTNKLZ2V1Dw6QhjpmayILwhnb8Q7Zl36wr8uwyDtW8AqeHP/Y2oDldiikml0ltNYD/3vqdoFy+++CKXXHLJ33qS3eUeLnz1Byo8fzz7/Cehhmf4ZOt5Hg3+04bvj9KMfT5fuPaknlKMVlWCrWEnAKrXLqBs0UdEtLiA6hUzkB0xIHRKZr9ifJwI/AXbMKfUx1+yC3SdqI5X4d70EyLox7t1ObI1EmeHK0G1UD7vbTzrF1Gx8APQ/Hh3/IqkmEI1NDIIDfeWn6lcPg10jbw3BpHQ5yH8e4yZmimrJU8/Ppr37/qdjRvW069fP9q2bcuGDRsYPnw4s2fPDpPHut1udF1HlmVsNhtutxtN20cLJYTAGpMEe3YDoYLxGncSHFxE/icuz9P4j0JWjPdkv3dDiUogqs2leHPX4NmyHDUuDUlWCVYUGHEqxYQ5IZuk/o+HjwmU7mbPe7eTcecnyBbD1Zg/YQSOpt2IbHloIomjQUTzfaVBRyvY7A/qXPPOT/8qo3eypM2ONf7TMb5DJbyMGjWK0aNHk52dzc6dtRM71OgUNFcpQtunHVZrVhQyCglXPELFsqn489Yb2xUTstmKpJpRoxJR4zLwbF6K7qnkQCRe8wxVy6bi2f7rPmkRoYNiIqptb2SzjfIfP621zZRUl8gGZ3HNxeeQu3gGLVu2JBgMhuOWWVlZ5Obm1rpOTEwM9erVOyi2dxqncXSQQokm++iuamo3U4aOQ1ZMFE5+jGB1CZn/28fOowd85L1+HQmXP4Qt+8xaZ9z70T1Y05sQ3fU6PFtXUDz7FdKGvY1idx63pzgWgs3Pz9nA2O+3HhN+21MBx0va7GTgPz3jGz16NKNHj67lHtyxYwdgFIrXFLL/+OOPFBQUcNE1Q1gV2ZZgdSnuTUupXj3HoPTxu5EUE5b0pgTK9mCrdxbmxDrkfzoCraIQEOh+LzISzs5XY8tphWttc4pnvmDciKIaKg5mG+b4DBL7jSJv7FC06mIjzB/0E3vuzUS2ON/g0lPNmOPqoETE4tm8lEDJLkqX7GTNhdeRdgji3Ouuu45Zs2axevXq8LqysjJ+/vlnVFVFkiQCgX/gqNQaCQcm3ZzGCYccnYxeXkC40mA/owcQ3elqiqY+zt73bke2OJBtkTiadq+1j2fzUmSLA2tW84POn3Dp/RR/9TK7xvRHiUog4fIHjqvRO9yspl+/fsyYMSP8rdTwUP7www9cdtlllJWVAUZmdPee57K5wdXo9hiEEJR89TKuNQupkf+RTDaiuw4gqu1lVP76NWXz3tnnVVFMODteSXSnq3Fv+ZmKJZNC2eEhz4wkY0lrTPKAZ8l7fWCYfq0GkslG6tC3UCPjca3/gfIfP0GrKkGNjCe62/XYG3T4y21yrKXNTjZOJ7fw5wrh8fHxOJ1OhlzSBbOqIJvtVK34kthzbyGyRS9McZnY6rXHt3cTamQ8u8b0Z/dbgw1WE4sNZ5cBSKoF3VOJGp0CgDmlvhGUj4hFccQY62LTcG9cTLCiEK18D5JiQolOIqLF+ZQteA9/0U40VzkEfCDJqNFJAKQMGgOSwpbNm9APM4Fv0aIFTz75JGDMan0+HwsXLkTTNN555x0eeughBg4cyPaiaqLbHKyhZWvQEfk4djZ/C6eN3ikBvTyfWp6PkN6bGkqBt2acYazXAuieSiTFRHTna2qdw9GkG+m3Hlq+Ro1OIvnaZ8i8dxppQ8dh+wvSXH8VNbOaCUPaHyRJlJOTw8UXX0x6ejpRUfvEbsvKymjVqhUPPvggCQkJnH322SxfsZL8WS8DULl8Oq41C5BMZqJ73IgSk0pkqwux5bRCaEHKvn0TSZKJbN+XuN4jQQtQuWwa7s3LED4XkmpGiYjBWqcN5sxmWOudRcw5NwFgzW6BJas5poRs0u/4GHN6E9ToZErnjiNYVUzxzBeJ7TGEjLs+J7r7DRR/+YLRhxwhbCYZiypzY+ccvr2r27/C6MF/fMZXg0MpNwCYzWbuuOMO7r//fmw2G8NuHITLr+GVbTjO6IE1owneHb8CoAc8CJ8LJSqBzAHPonmqqF49h8rl05AkGdlsQfNVo7vKISaFQNFOZHs0uruC6C7XUv79eEyx6QSKcglWhQh0fS6CQT9eTUN1JuJaMw9f3gYkkwWtupSY7jdQ9fMMgmV7QejY49Nxb/vpsM9ps9kwmUw8/PDDqKpKt27dsFgs/Pzzz0RHRwPgC+qkXXQHcnwOrt/nkXzd81T8NBnf7g0IvxdTYh2E303aze9StuhjqlfNIbrbdZQtHI84hOv2NP6D0IJo5XtDGZKwa8y+2jc1MQd7g/YUfj6KlIEvAZDqtFLm9h9Toee/gz+b1Tz33HOAMRjeP6vz0ksv5dJLLwVg/Pjx9O3bl3kLFyEqK9n5fO+QJieIgI/yBR9gyTwDT+7veHN/M2ZygAh4qfp5hpG0Y7KBJFM86yVDUy8UJ7U36YY1tSFl34+n4JORCF3fJ98ElM5/H//uDcScPZjyHz9hz3u3gx6kaMazSJKMtW4bJJOFYPleZIuD4tljcK/7HmSF2O6DSOrUF1mSqNr6C3u/fhOtsoh6TVsw+bOPad7onx3TOxCnZ3x/goKCAgKBAB6Ph1dffZXJn31CoGxvuP7HX7SDQEku3q0/g6zgbGcYUcUWScQZPdE9VaDriFACSc2sSQ94QQsgW2xhwl3JbEP3e3D9Ng+QsNY7i4x7JpNw+YNo1WW4Ny/HV7gN4XejuUrJfdHIMi2a+jiWtEaYbBHof5D23Lz5wW4kIJzco2kaBP1oWhB7gw74i3fi2rAYdI1AyS5MidmozkQ0TxW5L/Wj6ucv0D0VlH33DsLnwpzSAEtaI6zZLZBUczgZqBZkNdwhHhLKHyQSSJJRr1VzntM4RRF6Bw/Q0pMjEwgWbKVi8ef4925i9zs3c2u3uiy8tzs3dMrBospYTSe+SzrWs5pVq1Yj2aIwxWeScOn9gGQkiCkqCB1f7hoCezdjy2lN0rXPgiQjO6KxZp5h9A+hvsWS2hBzUl0kRzRIMlXLplI0/Sm0ymJizr0Z2WTBknFGmMzdvXYBsjMZ7+51mFPqo4b6FWeX60i7/SPMyfWQVBOmhBzKf/wE787VmFMbYUrIpnzpVPonl/Buv4aUzXiGj954AVdlOZee04Whg647qvY4FfGfMnxBTWdHsYt1eyr5cXMR6/ZUsKPYRfAPauBsNuMjiIiIIC4ujrVrfkeVBJXLv2DXawPwbv+VmvRra3ZL5BpJomAAPeABYZDL6t4qJLONYEUBVavnoLnK0b1VmJLqUrl0snGM34vucxs+e0Uhsc9DyLKKOTEbe/12aFXFxF/4PySTBbQg0Z2vBcCUVA9/wVb8rnIkCGeqBgIBysvLCQQCaJrGWWedRWZmJk8//TQul4v58+fj9XoZO3YszzzzDBMmTKBRRjy7pj0HskJ87wcom/8e5T9MAEki4dL7ib/of6Tc8Jox89M0I8FHMWFKaYAam469cTd8+VsRGKKWalw6IGFOaYAak4qt3lkocemHaOma2qlDsFnIqsGcL6vIJsPwyfYYDIYbK5bMZvv2VS37znUaJwVKbO36LjXW+L2VqDiQFCSTCSSJnK5XcNe5DTCrMved34hlD/TkrnMaUD8xApMiYVWlY/5LqjI4zAp2s4JJkaifGMFd5zRg2QM9ufe8hketuB4IBPjwww8Q3mpiug/G3rAjIIz4nRZEiYgNDQgFnp2rsWY0RTJZ0V3leLf/GtbAi2pzKf78LZhT6iNc5SD0kKKChBA6pd+8jmyNIKbnECJb9No3oC7fQ6BoJ5GtLkYPlWyUf/8hu17qR8WiCcSefzuy2Ur16m+RLRFEtjgf2WQh8szzef61t1nx/deccUZT+l91FVarldGjR7N69Wo2bNhwVO1yquFfn9VZ5vIzacUuJq3Yxc4Sl5GMud92SQrRA8U5sKyaTIyo4tMJtRW/MzIycLlcTJs2jbPOOovPPvuMJ599geKYRlQt/6LWvoozibSb3yHvjRvQq4trbYtocQGBkl0okXG41/8IQkOyRRHZ7Bwql0/DnFwPEQyE64j2pxwypzXCv2cjCZeNoGjGs8jWCEyxaXh3rCJl6FiKpz1FbNdriN84i7Vr13A43HLLLfz6668sW7bsIKmQ7du3k52dTXKrnhSt/xmhBVAi44lsdSFRbS4N71f+wydULP6s1rHmdENs17Pzd8QBz33EsNhhvwL9MBRTyF30r35V/zWQVDOSLcpQ+gbU+EyCxfuyik2x6Qi/m48//oj+vQ+OJwO1hJaLq7y88+N2Fm8p4s+8oSZFwqzI6AICmk5qtI0Lz0hmSKjurOacRyPYXOPqvOyyy2qxPW3ZsoUGDRpgsztwnnMz5sZnU7lyJmVzx4UaRsbZ8SosGWdQOPGh8Lr9Sz5iLxhO6devcmjmGnXfvgeUECkRcYawrCwbCu37Hy8rmBKykUwW/HnrwnWN4WOjEojpcSMlX72MCAZQZCms2NKtWzf27NnDU089xRVXXPGX2+pUxb/WX+QP6rwybxPv/LANTReHTSmuMYTbil1UbCtBry7h+TkbGN7TGIkCDB48mGeeeYaysjJ8Ph8ffvghF11yKfMiurPHZMO1biGW1EYIwL3+B0N01mzD2qCjMVpTFAJle4k5exAlc8fh2fyT8eJJEgR9VK+Zb9xz/hZQDEXooqlPkNj/caxpjQmU7GLvh3chAl4KJ48GQPN7EAEvmffPQJIVglWlFEx7hoL9nu2DDz5g0KBBf7ntRr/8NmPmbcJ7mF4musu1RHe5lsqVM6lcOhWtqhh/3loCRTsOq5ou26KMxAbVghIRS/DAhAjYz+gdQFlVU6wsyci2yFrK0EcKJToVrXzPXz7uNP46RNCPqNo3+Nnf6AEEq4pR0Fj/63I4jOHbX2i5YXIkneobWnlef5AVO8uo9ARxB4I0SIwgymYmPcbwzPyZYTte4s07d+7k7LPPBqD/dQNZnNADb0BHjYhDMtsQfi8IHUeznng2Lw8fZ6nTGt/WfSVF3p2/IdujDv2OC21fDa2sGAZOwvAq1WR26hoHeTx0jUDBNkCE64IB1KQ6BAt3oFUWUfzFs8Z2JLSQB2zUqFG8/PLLVFZWMmDAAIYMGYKiKJx//vnUqVOH8ePHU15ezoUXXsjbb79dK+HnVMe/csa3u9zDte8uZW+FB1/wzx+vRiG8/MdP0apKSL1kOCnRDj4d1ol4m4zf7yclJQUhBBEREVx55ZU8/cyz1LnyAcxZLdjz/h3E9LiRqp+/wJrTktieNyG0IPmfjAwrFtfAknEGydc+g+YqJ1hRSOl34/AXbAMtQMw5w4g48zxkk4Xdbw8jWFEIkoRicaB5q0m+/kUsSXVwb15G0dTHQ0KTijH60wLc+tQ43nhg6FG3X7nbT7un5x1EjHsg3BuXULF8Ov7d62utj+pwJbI1gorFnxnB+f23teuLa838P2Z1OazSulTrw621xWxH+A8xW9z/2NMzxhOIfe0tWRwg9PC78NzzL/DiC89TUVHBL7/8QuPGjU/ifR45vF4v1dXVXHTRRWzcuJHzzz+fcePGUVFRQZcuXXC5XASDQSZOnMRtCz1okglJkij97m2qVnwJQELfURTPfBHhd6NGJxHf+wHyP7gTADUuHclkI5C/2SDXFgLZ6kCvrvlWJGPgF0oii2jbm+qfvyDc1iEuU9kRg+4qC39HUZ2uoern6YbxVU37yiYAR/Nz8Wz6CWQF3VttZJ27SqibnYnZbOb999+nbdu25OTkMH/+fGJiYujYsSN79+5l9erVxMTEcO211xIdHc348fuU4E91/OsM3+5yD5e8/iPlLj9HmiN2KNdddOeryTl/MEVvDyFvV+0Ra41LMPWsCyhYuxQR8CDbnDgadSa66wAk1Yw393cKPn0ASbWE2FwMJF45el96937Y+czFBgF2KAVc81RRMvsVvDt+RbZFEdNtII6mZ4f39+5aQ+m3bxEsL8AUl07ieUP5/a3hx4xG6Pk5G3h/8fbDZtpVrpyJ6/d5+It2YArFcMxJdYm74HaKv3we394taJWF4ZhnQu+RlMx+xXDZ7t1CsGx3+FyKMwlkE1p1Eabk+gR2raWm0zRnnIF/1xpM6U0I5K076D4MYyhhSqlPYM/GQ2w/jVMJsiwzfPhwpk2bRnJyMldffTXDhw8/2bd1RDj77LMPqeZyOJUXSbWQee9UhBDkPnfpAYM5iaj2V+DesJhg+d4Dj8RxRg/cW5YdluhdtkUR0eICKn+aVJu8+xCQI+LDYRc1JtXwtoiaekJDUQZZNUgxQudSFIVnn32Wm2++mYiICPr27cvkyUYuQsuWLXG73WGO3yVLltCjRw9KS0trEXmfyvhXGT5/UOe8Md+TW+I+YqP3R5AlyIq18+1d3Q4Z9B77/dY/dAmeKBwLlokDUdOWu0o9aId4Rdwbl4Ak4dn+C748Y8ZnTqpL7LnDKJj4MMGKQnR3ucFTarKQeMUjyNYIir54JqQKfRgoJsypjfDv+r32M9Zvj2fz0r/3MKoFgr6/d+xpHHNERkbicrnCbrOZM2ee7Fs65hj7/Vae/3YDwaCGb9daCiY+hByZQPrQsQRd5ex56wZMSXVJuPwB9owdgmSyoCZkEdiziehuA6lcbmRMW+u0xtH8XEq+eAZklZTBr5D/yQhURwxBVxkiGAoDBH2ARNyFwymd9w5CNYPLKKhPvOYZCj8dyeG8HrI9GoSO7qnEnNY47MExm82YTCbcbjcJCQmsW7cOWZZp2LAh7dq1C/9uixcvpnPnzqxatYozzzzzoPOfivhXZXW+Mm8TBZXeY2L0wOBlzq/08cq8zYfc3r9txqE9cicQx4s7z6zKfDKkPU67CeWAouLKlTOp+OlzimY8GzZ6AAid4lkvEijJQ3eXI1kjjRGl34NWXYburTaKZ2tKERQT4XiEbKhboAUOMnrmtMZ4tv0S+uuv5/lZs1seXEIh/ate/X8Uqqqq0HWdQCDAvHnzeOutt072LR1z9G+bgSJJVCyeaGh3CoFeWUjuC32o+uUrALTKIvaMHQIYNX6BPZsAcG9cHGaw8W5baRg9QI1JxpyQhYThERLeaiNBTlFQohIwJWRhq9Pa0PgMGT0gZPTA1rATtoadQ9+d8V2hmNDd5VjSmwCgu8vDGaJ+v5+kpCQyMjIoLy8nISGBuLg44uPj2bBhAzt27KCiooJnn33WuG/3H4UaTi38I2Z8EydO5LHHHmPbtm1hNYGEhARsNht79+7F7XYjSRK6bMacUp+Yc4fh3fYLVStnEqwuNdwAkoxii8TeuCsxPW5AqyymePYYfLs3IklGirDqTCL2vJvR3RWU//gpwcoiI5tQkoiLieGiiy7ktdde46OPPuLDDz/kt99+wxEdT0V56SHdkccbJ4I7ryZeWlDpDbs9DzXbAzAn5mBOroc5uR7FXzxjxE4xxCudnfpjq9Oa/E8fQHHEoFUUHMCyv99o9KAZmmTIyPhcf0qKbck8E19uDTWbDOinibRPIdSIO8uyzEMPPUQgEODZZ5/F7XZjtVr//AT/IOzP1Vm26GO0ymLiL74LEQyw65X+Rs2qHkQE/dgbdcG7Y185Q9gFGYaEbHcScUZ3Kpd/QfhbCQnRyrZITPFZeLet5KBZnSQj26Mwx2fjy99cKwHNkt0Sa3pjfHnrw2Qc4W0WC48//jgjR46kefPmpKen89lnn3HPPffw448/hmOa99xzD3fffTe5ublkZPwzpIpO+WHv3LlzGTFiBLfccgvJyclMmTKFTZs28c033zB+/Hh27tzJxo0b6X3zSBRnArb67Sie8Ry2+u1IGfwKqUPeJHXY21jSmxDR6iL8hdupWvElRV8+hzmpDubEbCxZzQ0S6PZXUDT9adS4dJIHPEfa0HGk3vwOkU260KTTuQSDQR5++OEwxVlWVhZOu5lOo6aRdOl9lHz7Jv6iE6NYbjMpZMbajjthbFq0jd6mNVRNvI/c53tTNnsM9oYdsTfogGRxEKwoJFCyi0DRDjRXBVFtL8Oa0RRCkkd6wMhmq1g21TCYQX+IZV8KCYeGZmImM0psOkgypoSc8PUj210BiH0fqyQhWSMOe7++3N/2+2u/1O9TTAH6vwq3243ZbKaqqorCwkJeeeUVhBB06nQIsoN/OIb3bEBalNlQWdE1I8En6EcP+jEn1UNSVOSoBNA13OsWGkQWodmYvJ/upxwRB4DuqUQP+ve9/5IMWgBTUl10nxtLaiMwWUCqnaxvSsgmotk5hgqGpXYMzrfjV0Ot3Rz6Jk02arwqfr+fb7/9FoCePXuiqioRERHccsstbNmyhZ07d/Lhhx/StGlT0tLSSEtLOw6teHxwyhu+UaNG8eijjzJx4kQeffRRLr30UjIyMmjSpAnt27cnJiaGrKwsfttTRaB0L5IkEyzbiykmxah1i0lBttiRJIlgeT6SJOHL34K/YCuOpt3xF24j4dL7sCRmgxbAnJCFf89GFLsTNSoBxRaFLiTWbtiMoihs2bKFPn36cO6557Jt2zZatmzJxNu6k9SwBY567XCtXXBc2+NkcOdlZqTx+nNPMGjwYJqkRoULjFVJhBQn4kGSsaqC/3VNZ9rQdsQ5zMiaPyQUqhJ77i1Ub1wCYIiJhtydSlQiAJKiopXtAaEb5wvBvXVl7ZvRtX06a4fE/vVL+3UAQvAPeN3/tVBV47cQQtC8eXMiIyMZN24cHo+HBg0a8Pbbb5/kOzz2MKsybcoXkvtCHyqXTsG1doHh6vz5C5KufhLd50Lbr9QjULAVJSIWAK1oR3i9Xl0CqgklPhNJNRuuTECOjAMk/LvXY6/Xlurf50LAa2Q9y/tc+4GyPQgBQXcF5qQ61A4XGP8P1JT6BDwGh7CiIIRg/vz5NGzYkPfee4/zzjsPj8fDk08+iSzLJCcns3PnTu6++24effRRZPmf832d0q5OTdOw2WyMHj2ahx56KFwnEhERweWXX87zzz9PSkpKWGuu5kd0drmW6E79ca1dSMmcN2ql1Mu2KJwd+lG1eg4xXa+nbNFHpN00ltJv32Kfu03C3rgLhVMeq6V4brfbmT59Oueddx6//vorZ511Ftdeey0ffvghu8s9dB1wFwWbfiX+ikf/9jPLEmGVZlWWsKgyAqMYNzvOQb/W6VzZJuOkiEA+/PDDYamjoKbTsXMXfl665KD9Ro0axRNPPFFL5y8MSUaJTjaM3OHwB67JqE5XU7l4In+pNMEWDZ7yI9//NI4JjBCCOGjdF198wYABA1izZg3PP/88Xq+Xd9555yTd5fHH7nIPV41bwu5y7yHf2j3j7yGw92gykiWQFWw5LfEXbseS2RzPFoPgOhxOUEzh30O22Ik7/zbKFn1MsGQXAObUxvj3GGEL2RZFm2aNcDgcLFq0CKvVSlpaGsXFxQghEEJgsVgoLCwkISGBESNGcPfddx/F/Z94nNIF7DU8mRMnGrpdOTk5mEwmOnfuzPLly3niiScoLy9n3c5Cetzyf2iWKHR3eXgW4Wh6No6mZxMo3Y1rzXysddrg3bbCoL6yONADXmSLUdAqWRxoVSUokXFoVSVYM5qSedfnBKuKqV41B2e9llyeWEZ2djYA1dXVWCyW8L2mRdu49+KWvPDmL6iqjCRxRNmesgQ5cQ7ObZJEz8ZJJERYjrgY96RC6PTo1gVPdSUtWrRg/vz5fPTRR/Ts2ROv18tzzz2Hx+MhuvtgolpfAoqJPW8PI1i254+NXujctRBKtZasEZjiMg/a3da4K571iw55Kmv9juhBL/7tvxxy+4G1UbWvq4CkGNIxy6aFZo2nY4VHiuSUFPbuqf1bt2rVivLycrKysnj55Zf5+OOPqaio4KOPPiIhIYFhw4bxyCOPnJD7q2GHcfs1Sl0+Yh1m7Gb1mH9radE25t/TnZfmbuTtH7axP52u0ILo7nLUmFTShr2N7vcQKMnDFJ/JnreHoVWXYU7KIbrb9RRO/j+sWc3w7t5A3DnD8O5cTbCqGAH4d60lsd8oAHz5W7CkNaRy2VTsTc6m6qfPSbr6SazpTfDsWEXxjOfwF+0wmF5MVgj4iGpzMUJcRMnXr3HtmFn0tGzj9ttvp127diQmJjJ9+nQAJk+ezIQJE5gxYwbZ2dm8++67nHPOOYd46lMbp1BPejBqeDJvvvlmAO666y5GjhzJwoULufvuu5k9ezYAisVGXNuLKP3mdWwNOlAy66Va0hum2DRM8ZlULp+GKT4T19oFCJ8b2WQNz+iEz41stoX/rYEaGY+tTmsK54yjQ7ee9O/fHzBmnT5f7RR5t6uaJllJB3EO2s0KERY1zA+YHWdnSOccvry1E5sev4B595zNyAsa0zIjGoCtRS7yyjykx9homBxJdrzj1DJ6wBNPPMGzzz7LmjVrmDBhAnv27OHjjz8GICEhAY/HmGWXL/iA3Bf6oFUUEn/JPQBY67YNnUXCVu8s0u6YQNxFd2Fr1CW8Ppx1qZhJuvopAISuUzLrBQ6c7R3O6AF4Ny9Bryg47HYQhzZ6kmLUF2p+qn6dbVBBnTZ6f4L9fjc4yOgB/PLLL7z77rusWbMGp9NJSkoKkiShaRrvvfceb775Jl9++eVxu8Myl5+x32+l+4sLafDI13R/cSEXvvYDA95fzoWv/Rhe3+PFhYz9fivl7kNwx/4NmFWZkRc05peHz+V/PesT5zAjQlnQkiRjTjVKkWSzDUtKfWSTxTBkksHoVLF0Co7GnY04YMCHN28NgeJcEq94hJiu14HQ0bxGHNySXA/PxiXY63fA/ft3WLPONOLrgC27BfYGHahYPBHh92JJbYBksaFExuFo1BnVEY1z23dcc801NGzYkKVLl4azNauqqnjwwQd55ZVXjkmbnEyc0jO+mJgY0tPTiYiIID09HUmSwnpd++t2WVQZXdcRQR9aZbHxb1UJiiM6vI/QdYJlexG6ju5zE6woQHEmEijPR/e58Rdux9G0G6613+No2q3WfQhdw1+2F1nobN26FYAGDRqg6zqVlfs6zdWrV9O0aVOi7WaGda3LsK51a3EOHmrmVsMlOmXlLnaUuFEVCTn0bAFNJyvOQd9W6fRve3Lcm4dCMBhk5MiR+Hw+8vLyeOedd6hXrx6DBg1i06ZNVFfvi8FJqhkkGe/udZhi05BMVqJaXUQgFMOIbHkhqiMaR5NulH77FpbMZiRe9X/seftmZLOV1BvfIFgeMlxCIMkqCf1G4du9gYrFE5HMNmx1WhMozkWJjCNQuB3d5zYy4hQTij0KR9PuVPwwgcizrsC9/nu0qmJAQo1Nw5yYTfzF9xCsKmbPO7eElO0los+9CVNEHKXfjiX2/Fsp/moMIpyBGsKfFA7/9yBqFWlbY5PxluYDkJiYSCAQwGQysXr1ahRF4dZbb+Xxxx9HCEHHjh3ZsGFDmAezRubnWOGIKQwxHmFbsYtnvtnAC3M2cGPnHO45r1GYwvBoEG03879zGjC8Z30GDR7MxhjI7ngFJUUFNGyezLdrCw1jF9QxJ+YYVH+uMhIvf4jCyaNwnNET19oF+HLXkDzwJWSLHT0U86vpEYOVRXhzfydYUUhkq4sIVhVTM1j0bFuJe9NPJFz+IEXTn8LZ4UqKpj5ucHkqKglXPMyHk95mwtuvo8gSLVu2JD3dIKgYPXo01113Xdjr9U/GKR3jA3j00Uf5+uuv6dq1KwsWLMBkMtGlSxfmzJlD+/btueKKK7Da7Fx2z/NUb1iMvUEHPJuXEtXxKhwNO+Hesgw1Np2yOW9gSq5LIH8r1pyW+HZvwJreBO+uNSiOWDy5vxN37lBKv3vHUCmu2xZv3lpUZzLl349HNplpkxZBfHwcn3/+OcFgkFatWuF2u1m5ciVr1qzh0ksvZcmSJTRt2vRPn8sf1Hnmm/V89NNONF38YcTKGorzDemcU4tD9ESjJsaXnZ3NY489VmtbZGQkX375JYMGDWLnztqZrWk3v4canUTZ/PepXD6t1rYaCrcappswDVuonEG2RoAko3sqka0RSBYHursCU1w6MT2HYM04A6Fr5L54BcgKkiSjOpNQo5ORLQ7iL74Lz/ZfKJr6JOKAInZLelPU6GS8ub+jVRbWflhJRlJMODteRfmi2qTlWCMxJ2Ti37WWQ0GyRiG8/2FtwkMMCGRZJi0tjT179hiDVCGQJAmz2UyXLl2wWCw0b96cjz76iOnTp9O2bdvDnPyv469SGB4OHerE8kyf5mTFHT3f580338yqVav47rvveGj040xauJqYC4dTvnM9ssWBGpuKb9c6Cj5/FFNMKo4zelD1y1dEND+XiiUTiWx9KTHdB6F7qymcNIpAaR6ZdxvMKoXTn8KzdSWRrS/Gln0mRdOfJvGKRxBCUPzF00T3GIJWVYxn8zIkkwVLemOc7a7At2cj1sxmSLKCfdcyds4YQ4MGDbj55psZNmwYLVq0IC8vL5yoVFRUhNPpZMSIEYwYMeKo2+RE4pQ3fIFAgOHDh/PJJ5+E5XViYmJo2bIlW7duJTc315Dh0Y2grSWtkcF88PMMPFtXhNxYBjmrEhGLo1EXorsOQKsuo/irl/Ht2RjitKup47sF787fcK2ZZ7hLhQBJwhwRzcCr+vD000/z2muvHdTxR0VF8dZbb3HNNdcc8jn2x45iF5e9+SMVnuBfagubSSYpysonhxHKPF4IBoMEg0Eee+yx8AxPVVVUVcXn8yGEoF69erz//vt07doVi8WCpgtSL76Tsp9nkNT/CUCicNIjRLa+mMiWFxrCtrqGJbUBQtepWjmTiiWTSL1pLEpErCHYW3P9qiLyx99N2m0fotidSIoJf/5WTAlZiKCf8h8m4N+7meTrngeM4t7yRR8jAl6i2vel+ItniGxzKZEtegGQ98ZA4i++B8/O1eHaKgDPjlUUTX0SyWwl/fbx+PO3UDTlcSLb9aFqxcyDjeM/GftRVEkmq6H0bXGEykakUOzHg/3M8/Fu/wW9sih8aPS5t+D67VsCBVsPYvoHiGh7GbLJSvUvs9C9tUnLo6Oj2blzJ61atWLgwIF069aNa665ht27DQq7Rx999KBv62jwdygM/wytMqP5aHA7Iqx/z2G2c+dOsrOzsVgsKIqK2xMSm5UVLKmNCFYVo7vKETVyRiHEXnw3pbNeOiSXrWS2EdH8PJyd+pP3yjUh2RnZ+FcP4uzYH++uNfh2rQ0dW3O8hGyNwJzaEK2qxGBVUhRk1YKieQn4vKSnp4eNXyBgeD3WrFnDhRdeiCRJNGnShA8++IAWLVr8rfY4GTjlDd+R4njSh1lNMnef04ChXese9blW5pbRb+wS/kAv9g8hS4a75HjX7+2P0aNHH9QZjRo1itGjR5OdnX3QDK+Gy7TnSwtZ8flrVK82aoEizjyP6LMHI0kS3tzfKZ07zqgtCsmmRHcZgDXzYB7TYHkBu8feGFaiACia8RyebSsAsOW0JvbcYWHXdqB0N3s/uhfhc6FExhHV5lKizrocRZKItCqseeHaQxq+imXTcG/6Ca2qhPRb3wegcOoT+PO3hNyjRwbFmYxWkX/47X9DKUKNzySy1cWULfwADiD+PqY4bEathGSyhF3IHOj2hXANGloAVAuS0MPu4U6dOrFx40Z8Ph/btm2joKCAQYMGsWLFClJSUnj11Vdp3749ffv25frrr+fWW2896kc51hSG+0OVJSYN60DrzJi/fY5HHh3FE4//X611psQcUm94jbw3bzh4oKWYUCPjiL3wf3i3Lqfq12+MQXl8Jr7d6zEl5mCKy8C9fpHxW2nB8MxbMlmJu3A4jsZd8O1eT/5nD5E6+FV8ezZS8tXLWHNaIikmTLHpVP06O+QdkUhJSebn5cs577zzePzxx+ncuTN33HEHU6dORdM0GjduTK9evZg6dSqbN2/GbD41wjF/hn+N4TtSRYG/A4sqs+yBnkcdY9tR4qLHiwv/ttGrwZ9xiJ4qOBlcpgcqbcRdcAfICnaLmUS7xPuDzqJDy6bQ+SbDxVldRvyFdyIkCV/u7xRNfxrZZCXtlvfwF2yncPJoYi+8E2tqIzw7V+HLXYNn+6/onkqE0DHFppF09VMUTn/K0DrTNeJ6j6SkRubFGgXeSmpKZdTEOgRL80CAmlyP4O51SKqFqHZXULH4U+MhJJnYi++l/IeP0cv3IpltWNIa4z1cZuohjJUhheMxlBFCHg3hc4dnC5LNieJwEizehRKdTFTri6le9Q2OpmfjK9iKd9svZNz9ObvfvAER8KJ7q8Os/5n3zyBYns+et4cR0eoiJFlF91ajRMVTtXIWkqwQ3flaSufWpiJLTU0lNjaWJ554gssuu4wVK1Zw7rnnUla2j15rzJgxfPfdd8yaNeuo34U/I1o/WkjAlFs6/m3jd+D97c/uUgPP9l8p+fpVRNBH/KX3YwqJONeoqwfK9lI07Qk0dwWKIxZLWiPizr8Vf3EuBZ8+QPxFd1G9dj5KRDyRLS/AFJMSPrfmrSb/o3uRJAnFmYhWUUjqTW/h27ORQOluVBEgsHIav61YRq9evbjuuuvo27cvzz77LDNmzCAvL4/333+fBx98EKvVyrvvvkuvXr3+ZmueWPxrDB8cnxf9WBFA+4M6bZ6cS6X3r7k3D39fMjd2rnNMiamPNY7nYOSw1zyE0kZsl2t44OFHeX3o+QfNTmvgOKMHrpAuYhiKiZiu1xHVrg8AZfPfo/KX2Ub8UbUiyZLByqFawX9oHcIjQXT3G3C268OuN29AP5Q7VZJRnEmYYlIOafwkS4TBlKMF4UBpJkk2ZgqxqQQLt9feZI9GNpmJatubqlVzsNdri+OMHux9/06smc1I6D2CXWOuRrJHIdwV4didZHcS3eVayhd8QOy5N1OxZBKJV/0fqjOJ3Jf6QjBA6pA3CO5Zj1j+GbIss2DBAho3bkzz5s15/PHHueyyy6isrCQzM5M333yT/v37U1hYyOWXX0737t156qmnjqjtzj77bJYuXUogEEDXdSRJwm7///bOO0xq8mvDd5Lps7uzvRd6kd5BqoAoiIAUFcSCIogVe0PFhh0UULHjh1IsoFRpAtJEepMibXvvO30m+f7I7MBSFBX9qeS+Li7dSSaTZJI5ec97zvNYCLPZKBXDceUdVVO6CIgmK5Z6HYjoNRpB0lO8/G3sBzeoDw0BCyBbhyGEtb8G54ldlKyYga8sH0EUAQVDYkOir7qfgi8n4isvUEez1SMqQUAURUaOHMmVV17Js88+S0ZGBoIgEBISQn5+PsuWLWPhwoV88cUXeLxeXKIFRVHwV1cVy34U2Y8UGk1I08vwluQE5QHx+xAMZhDAEJ1GRK/R+EpzKVoypcZ8anUxmeJ1q2lsSaeO3hTVtkgKiSS0dX8cB9fjKTgRODcqUf3GE9L8ZGtC0dK3sO9ZCaitZD/88APJyclMmTKFFStWsGzZMkCd5mnRogWDBg3iwQcfPK/v7X/NP3e48Ae4r1cD4sJMF+ygRIHfFICePn06bdu2xWg0nmH6+sUXX9C4cWNCQ0NJrlOfvD3rayyv+OkbMqeNJGPyMLVq0HcyfZQ3+3Ey3xpBxuRh5Hx0N47DNZ0JinZ9z+PDumK1Whk0aBAlJSf97X5tn/5Owi0GRnepjVl/4S8zAZAENeV0qhpZZLcbqPfkEuo9uYTek9fy3rojHP3uEx7q05ATJ04EG3AVRaHS6WXwOxtIe2wx0f0fIO2xxTX/PbwgGPQAInreRlj7Qaqkms+lCiPIfvDYsXUejhQahXhKJXE1sde/QNpji0m+bzbmeu3V/TdaMcTVBUmPMb4eit+LpW4bdZnOgGgOw1SnLXE3vUHqI98QO/hJfAGbJ1OdNphqtwZU5+3kcR9ibdj5zKAHoCiEd78p6IZ+KiGNumCIq0f5xjn4y3Kp3L6I/DlPAgrRVz+IYLSSfPf/YU5tpr4h8AOrOMrxZB9EFx6HaA7D0vBS8j9/jIzXB4PXjalee/RRKTTu2Jvi4mKKiopo164dJpOJvXv3BnvCwsLCmD9/PlOmTCEiIoKWLVvStGlTJkyYcMa+nuuaVhSFJk2aBBvlq3tr7S4v0V2vJ6TFFQh6M8g+ZEc59gPrKVn1PmUbPsdXmkNos96IOiP4vcj2MkrX/R/2n3+gcMEkwtoOAMWP4nOj+Dy4sw9S8OVEEke/Q+qDXxF7/SSEgJxYtYbwzp07efTRR/n444956KGHkCSJ8vJyTCYTr7zyCiUlJRw4cICXF2wlpvftJIx6i9QHviSs3SAEoxV9TG3irn1WnR4QRFAUQltfBSgoHgeWhl2wXNKN/HlPU7T0LQwJDYgZNlG9FsJiSLrjI1If/AqdLRZbxyHowuOC5yp6wMNEX/0Q5ZvmYmnaE31MGikPL0CyxSEYLMHRZDXWS7qjs8Xy09Zt3Hjjjdhsqnh1VVVV8P937dqFx+MhPj6eysrKM6+/fyj/qREfXLjJ7LPNpU2fPp2ZM2eyd+9ehg8fzsyZM5k/fz5+v59HH32UgoIC7HY7a9asoX79+tSuXZtvv/0WjywybNRYvIXpiCHRpNw9E+ex7RQtnkLc8BdB9pM3+3EUjwtdRAKRfe5AstjQR6ciiBL2Q5so+uZl0BkQdQbM9drjOLSRxKFPkVz0E3s3rMDj8dCkSRNeeuklnE4noiiyfPlyDhw4QH5+PllZWaSkpDBp0iQGDRp0Qc71+fBb9ka/F0mAlAgzn9/eibhQY7BVpDrj65f53Q3/6cV2nvxmLxuOFP/mumdLR1VTXTRTrawPkDHlWuKuex5joE/LnXeE/NmPByvw7Ac3UL5hNv6qUqxNeuBK301Yx6GENO15xvYL5k/CebimUo5kiyfp9nfIem8scmVhjWWCwYw+OhWdLQ7X8Z3IrkoQddi63oC1QUfyZz+hNjhvXYCgNwJC4OFLIemOD9HZYoPbqty5lIotC/CV5ZI47mMKv5yIpWFnnMe24y3OREFAH5GA4nUT1n4QUa1680CfS2gi5XHnnXdy/PhxGjVqxJQpU+jatSu/l/nz5wevaafTSdu2bZk5cyY7duwgLS2NwsJC/H4/CxcupG/fvgEXcSWYBjYkN0G2l9bwoqv2cpTCYpBddnUEdxb7KtEaieKqRLCEIVcWB7cpGEMCo0WZx558ipcmPnny3AsCRqORHTt2kJKSQlRUFH6/n5KSEr755htuvvlmIvveQ2iLKwDwOyvInXk/gqQjacx7lKx8D9njxL53FYb4evgqi1HcdnQRiZjrtVcFFUSRpNHv4ivPJ3+u+tmmuu2IG/o06a8OQgqJJGbIBNXoVhAxN+pC7MBHKFz4Oq70XcQOnoAhoT4579+hPlSZQkm++9PgPLrzxC5Kl03l8JFjzP1wGgUFBUyePJkpU6awcuVK5s6dS+fOnRkxYgSbNm2iR48e2ojvf0VSuCrcnBplwaj7Y8LEJp1IWqTljAKSanHqW2+9Nfja4MGDGThwIPXq1aNr167Ex6visllZWYSHh9O3b182Z9qxdRiCoDcFn5qr9n1PSIvLMcSkUbz8bUy1WiCaQwnvdiOFC15CColEECUUv5fSlTNAEIgd+gzJd80EQW38FuMbUICNpUuXIggCTzzxBNdeey2tW7dm0KBBGAwGfvjhByZPnkxFRQWvvfYaI0aMoKDg76tO/DV7o9+LXoRxPeqx8oEeJIWrga1WtJWG8aHUi1X//ZGG/7QoK5/d1pG7etS94DeEIToVzykpRm/+MfTRJ9VnrI26kDj6HVLGzyG86w34ygswJpw9w2Bt3AVDXF1snYcHX/OX55Hx+mBCm/cmoudtGJIao4tMBlFC8fuIGfAIMQMfIWX8HPTRaRhTLqFi8xfkff44YR0GE9nrNtIeW0zqg1+Tct9sBIMpkLaMrfHZIS37YmnYCdEUQt4n92Ku2xZblxEk3DyZ1Ae+xBhXB2/+UXwlWZR8N51fXhpEsusEXbt2Ze/evVRVVbFt27Y/FPRAvc8GDRpEVJQ6wqq+F+Pj48nNzcVut+NyuRg0aJAaaPqMQbJGoItMUPs5reEY4usihsYEtylaw1UfOkc51oaXAooqCC1IWFteGRR0DmneG11EAua66mjdXE9ttVDcVYimEBS/t0bQe+aZZzAajbhcLvr164ckSWqls9/Pgw8+yK233hqoTD6Cff9aMiYPI+utEcj2MnQRSSiKgitzP/qYNABC21ytztHKMqHtr8FxcCPIPoyJDU+O6BS1h9J1bDslqz4AnZ6Q5r0RAg+b4aXI5QAAbP1JREFU+tjauI+pureK14Ug6sj/4hkyXrsGX1kuptTmyI4yZPeZWQO3T8bn8wV7mJs0acLu3bu5+uqr6dixI48//jh79uw5rzaufwr/6Ab2P0pSuJkV47ufV8PqqehEAUkUGN21Dvf1qn9G4cjgwWraa9u2bWRlZQVfNxgMtG/fnqysLCRJfVpq27YtjRs3ZuHChfxUZUMwmNX8u6Secm9hOpb6HfCWZOPJP0rigIfJmTEaU1ozDDFpOA5txHlkK87jO0D2Y6rdGlNqEwRBRHZUYExujGgwIbW7ls5dumIwGKhbty61a9dm+/bt1KpVi4qKCgwGA3379gXgqquuwmq1cvToUWJja/6w/ZVUP4ycbm90vuglgTFd63B71zp/aRP/fb0asHhvLunFZ9781UUzp6rsI0rqw0lglKSup9rMVGsjWpv2pGLrN5jrtgUEKrZ+Q2ib/sHtuvOOYIitjeyqomTFu5jrd0AfpVq7OI9uwxBfF8kagbc4k/KNc7E06kJ4lxGEd72BokVvILuqiB7wMLLbQf7cCYR1GExoiz74nZXkzBiNK3Mf1rBotVq1qpi4EZOQAn5rpyPoDKTeP+/sywSBiMtuJeKyW8+6PP6Gl4P/Xz0v3v8vnH+uvhe//fZbPB4P+/fvZ/fu3TgcDrw+mZLvP0EwWvCX5SMazLiO7ySi9+04Dm2mutCoOtmleN2YG3Wmav8aDHF1cB3dhmQKQTBYUNwOdBEJCAYz3oJjqsWPNTK4H7Kzgthrn0NvMJD9fw8DsHjxYnr27MmBAwfIyMiooVu7ceNGnnzuJV6Z+i5Ve1YR1mYAKePn4i3OpPi76QiSjrIfZoEiE9a6P5Vbv0F2O5BdVVibXAayjK+iAEQd7qwDZE69oYYeqmSLw5N3BFFvBEXBExDB1kUk4CvLQ5H9+Mrz8VcVI5pCwRyK4qzAlb4b0RyGZA5FUWSqdi1HtIajAAf27ODtt9/m8ccfB6BTp06UlJRgt9uZOnUq06dPB6BnzzOzFP9U/pOBD9SRxsNXNOL2rnWYty2TeVszOVFsVx+MTllPIFAlGWXl+nYpF0wAWpIkbrrpJkaMGIHd4USQ9IRdei1Vu5YD6lOXaLTiLUxHFx4frNJS3E4MsbXxFmYQO+wZChdPxl9RhK+8gKypI9FHp6IErX1AJ4pklTqx2Wykp6dz+PDh4JNXQkIC4eHhLFy4kKuuuopFixYFG4X/bk59GPlww/Hf1DI16kQURW3av//yBn9L9apBJzJ7dEeumraeMkfNcv3yjXNrFM3Y96/B1nk44V1vIPv9scHS84J5qkB5w/tmYoiIR2nZF19ZHrkf3Q2oLR0hLfsGt1O66n08BcfVpuFGXYjoOTq4zJW+W5379TqRLOFYm1yGrdO1weWRfcZR/N00st6+GdFoJaTFFdxww01syyojXxCIG/YURcvfpWTFu+ijkokZMuGcQe9C8VcZI5+LpKQksrKyeO+997jmmmtITEwksVZdsud/BV43+H3IHhcRl91K6eoPAgU6akGH4igDwHJJNxSPK1DEAgio6j+BtpGSpapElxQWiyDV/MkUzaGY0prXEMK/55578Hq9rFq1CoPBwKJFi/B41H48WZa5/pYxvP7+LPSRSTiP70A+8EONa8sJhLYdiKDT43c5KF31HgD2vauw712FPioFyRaLr7IYf1WJ2mISkIqLuuJORL2J/LkTqPhpQdDTz3lwg7qNfWuwNOyM3edB9rpRnNUVxxA9SA1siiJjP7gRT85BFK+Lh+68jXHjxgWPa8SIEXTs2JHy8nIiIyNp3Lgx33zzzb+mlQH+w4GvmrPJh/3VorQAq1at4pFHHmH2N8t4eG0FFVmH1R/FQK+ToDepN5ffqwpmBwoTBKM5KJgNIFeV4s7ajyGmFuHd78JXlkf5+tnITlUWTBDUVERFRQUvv/wyN998M40aNQJUtYy6desyYsQIXC4XBoOBL7/8Eqv1zytP/BFOfxj5ansWJ4rt6CURURCQFeV/7kKRFG5myT1due79zWSXOoMPSeFdbyC86w1nfU91zx+oPyHJ4Sbmjr0UgB6vr/n1kdLIV8+5LxE9byOi523nXC4aLcQMPKmYMWNkG65soqbafX6Zn3MvZUhaM7znk+64AFQbI382uuPf3mbToUMHRFFEkiRatW7L0qXf4Q+k7SyXdKd8/WegKET0vI2ytZ+oLRg+D/jc6EJj8BYcR9CZ8NtLgmnI6mb+xDs/Jvf9sZjqtMa+6zt0ESd95ywNO6tSikYLkk6HPyD24Ha78Xg8iKLIwYMHMRqN+Hw+Jk2ahNmgU6+rQOq/+toqWjoV+77VJI55D314PIrPiympIb7yAnxVpSB70dniiL9lCuWb5iGaQoi5TR1tZU6/WXVST2iAtzgTQdIR2uZqygNOJuZ6HYjqfz+SKYSiRW9gadCJiB63AJD72aN4cg4iBR6mPZk/407fFTzGo0eP8v333/P000+zadMmFi9ejNlsDp7v02UK/w385wPfqVTPCf0d7Nq1i27dutGwaUuk9RsxJjRAF5WCt0i1AdHHpKkWIvH1UNwOPPnHEa3hSOawGkLZgs6AMfkSBEHEX15IWPvBlP0wC1fWfmyALCvkZhzH4XAQHh4eTDuA2ki+bds2Nm7cSOvWrdm+fTsDBgxg2bJl/1OVhd+jZfq/ICnczPcP9GDyykN8sOE4/vNsvJQEGNOtLg+cMkId36sBU1Ydxvdnmzd/hYQwE9+N74rNfPIhQSeJNE8OZ0zXOn9pL1s1Zr1EfJiRz/5GVaGysjKOHj2KLMssXboUu93O7t27GTJkKH5XZbCE33lwPQgi0Vc/pMrdRaeis8XiCIyCKrZ8FdiigOwsRzCH4cn9JfCaQunK99DFpCEERlXGhHrBfRD0JmS/D0/OQfw+dSQ5ZswYAPr168fGjRsZN24cU6dOBdTfhb79rsLvsuMtysAQr46My3/8CvveVVia9FCDnt9H4YJJCHoTCbdOU4vbRImYax5HECWsl/Qgb9ZDuDL3Ibtd6rywpEN22yldOxNz/Y6Yarem4qf5mGq3QZB0CKIOV9bPOA5vIqrf/SiyH8XrxhhXB39ZLvpoNcVuSmtO2mOLzyrc0b179zOspv6NXFSB76+gWs7L7/fj9/vVvhy/n3bt2vHyyy9z9MA+/H4/nryjeAtPqPN8QEjTnhQtmYIxuTHe0lzKN84mpJnaQ+PKPogxqSGy140+OhXHLz/iK80l/LJR6oeKOtyZ+3Bl7kOIr8etw68hKiqKb7/9Fr1eH9yn3NxcYmNjadq0KbIs065dOzp06MCqVav+MfJCf+fDyO+hWk3/ju51mbn5BJ/9mE5R1dmV+qOsBm7qmMbNl9Y6Y4R6Q4dUpn7/y18S+OrGWHnz2pY0Sw4/5zr39WrAkr25F6yq9nTMehFZgdu61D7rvPiF4vT7zOVy4XQ6WbduHQUFBXz11VfIsozJZOK992YQ9NYM9MYBFH79AgCSNZzwzsNxHvkJxesFZFV6LVAFqguNwi/pVNk8RcZ5dBsIAr7ibNVwOblxcL8qNs2jYvOXNWTbZFlGr9ezevVqFEXh5ZdPzn8+//zzPP/88+ofgkjBvAkgnKymdR7aRMahTcF5ZEFnJPPN4eBXr73MycOCac2wdoMoWvSGai8kiAiCQF72QSwNOhHe7UZK13yMpcGlRPQeQ/HSt8iadgOiOQxr8z6Urf+M4qVvqg/WiQ2IvfbZ4G9TNYoC17ZNuZBf4z8GLfD9Ds52802aNOnkhRxg5syZvPrm21w24k6uGToEb1WZesE16orzxE4UnwdTWnNsHYZQvOQttbLMWYmt4zAchzbhLckGFLKmjQRA8biwdRmOIbY2lVu/Va1DOg9XixuqSrCFhbJ79+6gjdMLL7xQQ2LMbDbzzDPPMHDgQNavX39B5KAuFsItBsb3asD4Xg3w+WVOFNvJKHEAAqmRZmpF/XoFaXUv44UadelFGNW5Nk/0u+S81q+uqr16+gbKHd4/FfxMehGdKP5PUtKnX9OfffYZTz75JDfffDNTp04NWue4XC6OHTvGFSPuYPnsGRhSmuHJ3Bt4l2oyjaRHUWQEUwjWJu2w7/seRRDB51ELPEJj8JXlE33N41RuW4Q7cx/IMkh6Ivs/ENQftTTpiTN9N0pVMQgCXbp04dDBg0yZMoWcnBwee+wxDAYDqampjBkzhn5DRzB21jZyy90ULngRS8POhDTvg2j64w9+4d1GnnNZ1JV3B/8/dsiZvZG/RnWB0j/FEeZC85/r4/sr+b2aldWuBK70PeTPeaLGsmpXAlC1KIuWTMGTexgpLIbIPuMw12oZXNdxaBOlaz7B7yjDEFeXyD7jMMSk4S8vIOvdWzEajUHFdID33nuPG25Q56OmT5/Om2++SX5+PjExMdx1113/ml6b/woXqpdREtRg+0ek6qodCn5vVa1eFEgINzPrtvYoMv+YlPQfvRfPpuyjj6tH4qg3azqEyD5Vb1QQiL12IqYUVUM2/eX+nE5Uv/FEtrqciJXP8tNPPwHq/LrRaKR27drs37+f7DIn/aaup9ypFk3lff4Y1qaXBfv4/kn8mevs34IW+C4g1T8ueeUuXH+DTJcowJoHe1wQmxSNv5ZqYYU/OuqqLhz5M+Lk1Z5051NVa9KrVbW3n6O159/Aa8sP8uGG43+LZF7PhjF8fEv7sy7z+GQun7KW9JK/UFz8AnEhrrN/A1rgu0AEFWMcnj8tQv17kAS45dJaPHpl4/+ZT5/G+fFHR10XunCkzOH5x1bVXkiqR9onztKXeaFZ99C5H0BfW36QGeuOnlcv8Z/BpBMZ1bk2dreX//sx43e//39RoPS/Qgt8F4ALLcv1Rwgz6Vh4dxdqaaO/fzS/Z9RVXTjyV466/olVtReS7DIn/aetp/S0vszfS8X2Rdj3rsZTeAJr4+5E97+fokWv4zyxG8VZgSQK+Hw+1qxZQ48ePfjiiy945plnOHbsGB6/6ukpWSMIbd0PW4chwe3mzXoId/ZBkAzobLFE9rkjOM0RTL3qjQiCiKVhZ4xJjanauRRvqWprJUh6ZGcl4Z2vp+Wg23n/mjTuu+duNm3ajN3lDppcW+q1I+rKe4L9v6fyd1xn/zS0wPc7mDt3blB1PT4+npkzZ6LX67npzgc4emCvWvGV2oyIy8eiC1HVHRSfl5JV76ki07IPY1JjIq+8K9iwXo23JJucj+7G2qgz0Vc/BBCYG3wyoKOoEtlnHCHNeqnvKcqkeMW7ePKPIJltRPYcxdIpD/0pj7Bq/us/iP9rLpZR1z+B7DInQ2dsIrfc9Ye3Ue2S4Dy+A8XrIbr//XgK0zGFx3JHfDpJCfHcdNNNvPPOO/Tv3z+o0/v+N2tYf7yMkjWfEnv9CxQtfI2IHrdgvaQ7VfvXULL8HRSPk+T7v8AVsCBKGvs+otFKzgd34KsoJKTZ5YRfdguFX7+AIOmxdb4OY2JDKnYspWr7YgRJR1Tz7myb/z63jxhCbGwsnTt35pVXXkGQJJpeNoj16zfglswkDXrwf1ag9E9Cq+r8FU4NdDabDb/fz4svvsjcuXPZtm0bgwYNon7DRpTHtyWpx/0gihR/9w55nz4QMIH0BfQAIfG2aYhGK8XLplGy8j0ietxSI9CVrJiBPiIR+/61J50YFBnBZCF1vCoj5SvLp3jFO5Sueh90ehSfB1un64i7/nlcGfso/Po5BkWnsWHSDX9o3q/UHvgx3pFF+ll+jNOirAxtncz17S6um+Sv4J/ey/hfIinczLqHLuOxBXuYvyP7D23D0lAVJHDnHcHvVZ0ujDFpfBnw4zt06BAAOTk5NXR63zhoISSyitIN81TLpPodcWcdwFynLWU/zFLl7QBRb8TaqDOV277FcWijWjkq6dBHJSNabUimEGydr6do0evBQhtbu4HoBYXyn75hePtUksLNHD9+nLvvvpuPP/6YsWPHUlBQQEVFGQs/eI2ePXuyYPQcRIPpor/OLs6jPg9WrlzJo48+yieffEJlZSUJCQk8/PDDJCUlMXbsWDIyMsjMzEQMT6Tq8CZEowVRb0I0WfFXFZN42zSS7/4/tQxakZGsEQg6A5bG3fAWZVCyYkZQjNj+8zpEkxVDfF1VL/HBr1Tbk2ETEfWm4D4Vr3gHyRJO8j2ziB7wCIrbGWhMlTDXaoEx6RIq933PgLc34vWf/xySxyfz2vKDdHx5NW+uPsyRgiq8fgWHx0+V24fD48frVzhSUMWbqw/T4aXVvLb8IJ6/0Wfvv8ypYtu/V2Bb4/ww6EQmD2vJxkcuIync9Ntv+A10osBX4y7lo5efxGKx0KhRIyRJomPHjkGd3gXffMPxgnIchzcj6PToomsFxKdTKf3h/zClNkcKi6mxXUNsbdxZB6nas1LVBTWF1lgm28tO+vcBMfbj1E2OJcykKkKNHz+euXPn4vP5KCsrY9myZVx55ZUoiqKqyZTmaNcZ2ojvnDzzzDM8/fTTdOzYEb/fz969exk2bBj33HNPUAX+tddew9e4D87V952cA8g7AjoDklVNN4a0vJKytZ+okkJVxZjSmqMLj0c0mNFHNcJxeDP2AxuC4tWnmkoC+O3lZE4dCYKAbC/F3PBSBJ0ByRIGokjV3tVUbPka2esCBBRFptzp5ZXvDlKxbiZz5syhvLyciIgIxo4dyxNPqG0V69evp2/fviiAy+tXNUy9LqIHPY61UedznpfqOamPNx7n2105vHRNM1IiLRf106PGv4ekCAsbH+1FerGdpxfuY8PhIvy//bYaRIcY2PNMHywGHW3eeYdp06axefNm+vXrh16vD+r0jrxhJA6nqtMbPegxKn+aD4qMPqY2lTuXEdp2IJ78YzU+XzBacf2yhYiet1K27v9qaIOKRjWLo7idYA7DtW8l7hMH6Hxpp+A63bp14/3332fXrl18++23DBkyhMsuu4ybbroJINjveLGjBb6z4Pf72bZtGwMGDKBevXrY7Xa8Xi9ffPEF69evR6/XM3DgQJ577nmO7y1SJZBCorA26aEKDkt6fJXFiCYr7uwDiKZQ5CpVe9NTko1cWYy5QUcAfGW5gKLqTHg9gEz6y/2RwmIw125N7LXPUrljCc7DmwFw/vITvqpS1VxTUVSNQaNFTa36PHiyDwAwc9MJZg8fidls5pNPPqGkpIRXXnmF1NRURo4cSdeuXdl3Ip8r3voBt0/Glb6Hgq+fx1ynzXmdI6dXJqvMyY2f/IRJL+KXlX9MKlRLHWr8FmlRVj4d1QEAl8fHkr25fLLpBAfzKs+qsmOQBLrUi8bqSaWyuACL4eRPpyRJdOnSBb/fz7fffgvAI488wqdfL2HCRjvlmYfInzMBwWAi/sbXKfrmJSJ7j0F2VtYQtwbw5h8HRcHauBvlm75Q7+sAp+r5Og5vpmTNp8xftIwvPlJlCmVZ5sorr2TMmDFs2LCBp59+mrfffpuUlBSee+45Fi1aRHJyTbPZixUt8J2F/Px8vF4vX331FevXr8dut1O/fn2SkpJISEgA4IEHHuCRxx6nJCtXVb0PiaRk5QyMaS3xlWSS/fbNaqrCaMGQ2Ijoqx8k56O7UFxVIOoQ9Sb89lIQJVLHz0WQ9JSs/pCq3SsQ9CbiRrxE8eIplKycAbKP0Db9ceUewZtzgOzpNwEKuqgUfJUlCIKIMaUJsseFJ/sAvqoShJBI3vlyOT/On8fGjRuD5p1Tpkxh5MiR/HisiOs/2BI85qp932Np2BnR8PvTQNWjwOpU6JRVhxndpTb39Wrwt7VYVM9Pfrk9k/RiOzpRRBRRLalkdZ7nurYpjOiQqs1PatTAZNAxpE0KQ9qo8lwuj49t6aXY3X6sRom2aRGYAoFuwoSF/JrPeE5OTlCnt23btrDpB7wFJ1BkL6FNr0IyWvDkHqHw21dAlpEDacust28mZtBjeAqO4ndWkjltpDrPJ8t48o7gLThBaNsBiNZwPLm/ULxsGsnDn6V5s2Z8EfjskpISMjIyuPvuuzGbzbz22mt07tyZCRMm0KRJE5KSkkhKSjr3zl9EaIHvLFRLf91zzz3BQBcZGcmePXuC6+Tl5ZFx4jgJ/cdDWCx5nz+GrfP1VG5fArJC8n1zEPUmst65BV9pDpI5FNnjVI0hA55tfkcFisdF1juqBqficQVMIkX04fFEXDaKvM8fRTSGYOs2ksppN4IgYExrTszARyn69lVkZyXxI19BZ4sja7qazvBXFKILiWTpksW0rVOHxo0bY7fbSUhIYN++/dz20XpWHzk5TyB7XDgObSR2yFN/+tydmgpdsjeXz//iniCPT+aV7w4wc9MJ5FMsp3xyzfnH9BIHr644xGsrDtGxTiRTr29FTOifn+vR+O9hMujoUr/m3NvpcoUZGRmsX7+egQMHIooiq1evxul00rx5c1q0aMHLL79MUfohSnevpmTNxwiSAVNaMwSjVZ37D5A390l8RRnEj3wNT94R/B4XCbe8iWQOw5m+m+Klb2FpeCm2LiMoXjoVU2pziha+TszgJ9HH1iHaLCDLqlFsSEgItWvX5t133+XWW28lOzubTz/9lLS0NB544AGefvppRFHLfIDWznBOUlJSePHFF4O58WHDhrFkyRJOnDhBXl4e7du3p1OXbmQ1u4kTMx8mpFU/bB0Gk/nWCPQxtYgfMQmAwoWv4fh5HfGjppH3yT2qwKwiI+j0IEgosh99ZCJx171A3pwn8RVnkDB6BoboZCq3L6Fk1XvootOI7DOWgs8fA52RiO43EdZuIOVb5lOx+Qtk10lLECkyEQERf2UhIHD7qJuZMeNddu3axcuvT+GL2bMAiL3+hWC/UMWOJZQFbk4EAVPtVkRdcVew56fsh1k4fvkRb1Emtkuvq2HP4ziylYofv8RTmI6g02Op256IXqMRjRYkQUA+uomo46v4ed8e2rdvz9q1ay/Yd3Si2M6A6RuocPl+e+WzcFPHVCZc1URr/Nf4Tc4mkZaWlkZZWRkVFRVnOBZMnDiRWbNmcfToMUABURecr7M26RHU0XRl7Cd/9qMg6QN9fDXlCnNn3o+nKANBVPv4fGV5uLN+VgWl/d6gAHc1zz77LN9//z07d+6kqqoKQRCIj4/ngQce4IEHHrjwJ+Zfihb4zsHTTz/NsmXLWLJkCXq9nquvvhqXy8Xhw4dxOBx07NiR75avIK3vGErWf44QqL5UvG5AIWX8PAS9kbINs6nc+o26zOdBF5mMPq4u+D3ow+PxlecTecVd2A/8QOmqDxAt4STf/Sn+yiJyP31AVYgXUKXSIfDE+Cn4fWTNGI3iqkLQGTEmXwIouE7sJnb4i5hSm+LY9g2mX75n/bo1OAUTLVu1xlOai2gOI3rgI8EbLGv6zQg6PQmjpoKiULhgEvrYWkT2uh2Aqr2rkSw2KncuwxBXp0bgs+9fi2gOxZjSBMXvo2jha+jCYoI3tvvELiJ1HobWFVm3ds0FC3zbM0oZNmPTn1bJSQ43MW/spf95pQqN/w0z1h3ltRUH+R1F1ueFThR45IqGNSyDNM4fLfCdA6/Xy3333cfs2bMxmUxce+21vPrqq7zyyitMnDgxaObq8vqRFUh9UPX0Kl79Ic7Dm1G8LhS/D0NMGiEt+1Lx45f4XVXEXP0Qroy9+Mpy0YUn4CvLxZTanNL1nyE7KhCNFhSvG9EcimgOxVtwAnR6BIMZxWUPukdXjxz1sXWwdRxC2cY5qm0Kirqux0nKjS9xdUwZn380g/LyctUE168qWAgmK5LZhs9eBh4H+pg0zHXa4Dy2HW9hBoLRgi4susYor2jR6+o+VxRi37sKMSQSxW3HmNoC0WjBnbUfv6McFIWwtgNwHNkSSLtG0LhZK37ZuhZQTUNnzpxJWlraH/puThTZ6Tl57QWThouw6Fl8T1ct+GlccMocHtpPWqWqt1xAjDqRLY/30uar/yBa4PuTzFh3lDdXH8bp9oLsp2zDbPyVxUT1vQdECUGUKN8yn/L1n6P4PYhGq1qppcjoo1IIbT+I0u8/IqzdNVTuWELSuI8QAs7MsttB1vQbiRnyFIboNEpWvQ+ihOPQBmIGPkr5pnl4S3NBEBD0ZuTKQnWnAmkQKSSStNgIjh09EthbAQxmJJMV2etCcVaefF2UMCQ2IKzN1ZSseBfZ4woESQUxNJrkOz+hePEbIOqw711V4xyIIVGIJitxQ5+hYus3VO37PuBejapmU7sVrvQ91Ktdi1atWrJ06VJcLhcdOnRg8uTJdOigVtctWbKEl156iX379mEymejfvz9TpkwhNPRkL5PHJ9Nu0krKnX8svXkuakdZ/tNq9Bp/jj9TKXyhtTp1osAd3evyUJ+GF2aDFyFa4PuTlDk8dHhpNflrZp1hd2LrPJzwrjeQ+faok0EpgKlOG6L7P0Dupw/gryxSU5mCgCDpa8wB5M1+HEN0GlJ4HBWb5iG7qhAtYaTcO5vipVOp2rsKlJp5lMj+D1K25mN17s9fU6PQmNYCX2kOfkeF+j6/F4xWqA5UCOqIUfYRdcXdlK79BNltxxBXB0/2QQRzGEqgEs2Q2gxPxl410Po8hF16PZXbF6K4HQgGC7rIJPwVhciOMkRzKKm16nDP6JsYOHAgTZs2pWfPnixfvhxRFElJSaG4uBiPx0NCQgIhISEcPnwYl8uFyWRCkiQAPF4/Xo8LfXw9fKU5oIDicyNI+pPH3288lT99jbc4C9EchiBK+O2lSOYwwjoNw9KgEyWr3lcVcvxeVUfRHEqbrr3pUD+BZcuWkZeXhyiK2O12TKZAGltRaNGiBYcOHcLv99O4cWNef/11Onc+d9/jX4XWsvHXc6GUjC60O0OtKAsrtYe0P4UW+C4Ary0/+LuMRsvWf46vLDeoyemrLCL7nVtJHKPKlp2KtyyP0pXv4cpQzTRFUwiGhPrEDn6S4mXTqdr9HUG3aUCyxZE4+h1y3h+DLbEOJYe2BrdlSGoc7PMDQBCCc4fq3xIJo98m9+N7EE0hJI/7mMy3hqN4T2oc6mNq4S08UfOAJEPQIdpUtx2uo1s5GzpLGF57OQBNmzalb9++vPXWW3i9Xho1asTx48cZOnQojzzyCB07dsRms5GXl0dERASDBw/m6Rdeoe3tL1Cydham+h1wH9+BrywP0WIj5d7PAfA7K8l5bwyRV96FuW47MqdcC7Kf8F63Y0puTP7sJ5DCExBQ8JXng6JgiK1NZN97KF/zEfXDZK6+6iqWLVvGzp07AbXZ/9JLL8XlcpGenk79+vURBIFvv/2WW2+9lYKCghp+iBea6iBXWOlm1YF8Vh3MJ6PEUeOH2OOTSQw30bdpArd3qU20VrH6h/k9QuLGQGHU6e07J02LnYCCUS8y7rMdf7gQq5pwi54lWlr+T6MFvgvA3+nOUPrDLPwVRUT3v5/iFTOo2rEYKSQKJAl/eQGC3khIq6tw/LwWyefEr4AiGZEdZYF5QQVQEHSGYMoVAEFCDI3EGFsb59FtIAiEtb+Giq3fBj5ZAb8PY+02uI9vr7FPkVfeS8nyaYhmGxgsyGU5aprXaMEQUxt3xh5AQB+VhCM/HZ0k0rlzZ7p168Yrr7xCZGQkPp+PqKgoysrKqKxUU7AtWrRg3759fP7559x5552UVVTidjqwNu2FtelluDL2UrFlPoLOoI5I848iSHoki43E0e/gLc4i54M7gscn6PTB4iPRGkHirVOp3PndyZG6KKlzqIrCp59+yosvvkhubi6NGjXi4MGDWCwWHnnkER544AFkWWbJkiUMGDCA/Px8YmNjL+z3fNpoAwW8v2NSM9QkcV2bVO7oUYfoEC0Ini9/1DpKAMLMOq5qlsDy/fkU2z1nXU8U+ENz0wKQHGFm7phOWtC7AGhj5QuAQSfy+eiO2Cx6pMD83N9CdaGLJBF/4+ugN6H4/VTtXYXfZcfn8RDSrBeG+EDllyKrBS6SHikkEvSn3kAKstuBtyQbFBnRHIp93/cIooRgMENAQcJXmoMhsebcQsny6SDqkJ2VyFWqgG9Yh6Gk3PUpvsri4PZ15jCO5pbi9XopKytj2rRpXH311YFDkBAEgbKyMrxeLyaTiSNHjhAWFkZoaCj9+vUDYwgA5tqtMNdqiSm1GSCgeBx4cg8j6k1qYAs8fFRs/QZ9fD0QJYypTYm7/nm1jQQQDSZyPrgT55GfCO92I7qIBEJb9cUalxaUeDIYDFRWVrJjxw7q1KnD448/zquvvkrt2rUxmUwMGDCA0aNHX9Cgdy7d1N8T9AAqXX4+3Hicti+uptXzK3h7zRHKHGf/MdZQqfbUzCxx/q6gB2q+pdzpY/ZPmecMevDHgp4kCozrXpfvH+yhBb0LhNbAfoFICjez6O4uf+hp8Y8iGNSbwFSrJbqQSFUoW2fAV5anriCKVP68AcUbmFvQGZAs4ciOcnxleRgSGqjaoqJOTVW67fgDwdSQ0BDXkS0giAjiycvEX5aLvyy35o4oMmq9tgA+PyCgj0yk7IfPwHcyTerM+plGKdFcd911HDhwAJvNxqeffkpMTAwtWrSgf//+/PLLL5SWlrJixQqWLFnCbbfdRrHDh1c0IevNIOnUoF19DiQd+rg6xI98hcodSyhd/QHe8gLKNs7Fk/sLxuRL8OYdwZ2+m7zP9iKFRKk9jgrEj3oLd/oeir+bhqlWK6r2rkY0mBhxw0gAXC4XoiiycOFCAK677jqGDBmCy+Vi5syZLFiwAI/nwgWT6tFGXrkTt+/CZQ5KHV5eX3GIt77/hdv/ZkWdfwsen8wNH/5IucP7t3pq/toIMDrEwI0d07i5Uy2tevMCowW+C0hSuJkV47uf9/xANREWPUPbJPPh+uOczy2nKDKKz4MgSiBKOI/vCoysFGS/D501HNxVGIwmXLKM4gsUuCgySDpEcyj+Sg/e4izQ6Ykd9ATFy6biryomdthEChe8hBwodhEMFlUQ2xaDr+A4giWcmIGPUDDnCULbD1aFdyFYWWqu0wZvSRalaz9FNFqIuvoRCmY/CoJI0tDHWfrSnQzs3RlRFFmyZAnPPPMMISEhGAzqjV1aWsradesICY/m3hlLyKtwce/0ryneMA/BYK7hTQioKdWAQ4U+OhXBYEEfk0bF5i9RQNVO1ZswpjUnoscocj+8E/QmDAn1yHn3VjX9K4q4MvcT3vUGytd/xqSDNp6/7HpKi0qRZZk2bdoQFxfHDTfcQHZ2NidOnMBkMjF8+HAaN25My5YtadGixXldI+fi59wKhry78S97YFJQf9w/2vD3KOr823hr9WHyK1x/u5G0rEC4Wc/bI1oFHnYUUiMt1Iq6uN0T/mq0wHeBMehEHr6iEbd3rXNWo1G/rFaEJYab6dc0ntGnFCJc2TThvJqyvQUnyHh9cPBvuaKA7HdvU1OfgWIHAJ8voOhisKi9epFJairT7zvpBuF1U/DNS2p6UNKrjs+AJ3MfAIq7Cp/7pDKM4qzAk30QgKp9q0/ulKKgeBw4fvkxWEkquyopmPckALZuIylYPZNWDV7CbDYzaNAgLBYLq1atCrYr5Obls3LVaoy12+AoTCc38wSK30vR+jnYutxA+Q//h2D8bZ9Bxe3A0rgr5rpt1ZaP4iz04fHIznK1oMfnQfF5Sb5vDr6SHPJmPYRoDsNblI6lYWdKNn+N49BmzLXawq7lfPRTHg/1jUEQhGD6M/hdeL0cO3bsDwc+j09m8spDzPjh2B96/+/F5ZPJKHFw9fQNLLq7y0UV/EaOHMnq1aux2+3Ex8fzyCOPMHr0aErtHqa8/ymF6z7DX1mMLjSa8O43YWmguh4Ufzcd+/61we0osg9B0pP6wJcAZLwxtMbnKD4Poa36EdnnDvX6Xfga7twj+CsKiBs+CVNa8xrrlzm9PPnNPq1S829EK275G/g9pecniuwMfGfDGX1qiuw/a58gikLJihk4Dv6A7HHSp+9VzPt8FjabjWeemcjzzz935ocIIiCAUlPuyFy/E85fNpN492cUzn0Cb1HGGW/Vx9VF9jjxl+acdf9Txs8j883rznjd2qwXDTpdyc73H0YURWT5bCObk9WpgJqClX3YuozAV1GI4vfhzthDVP8HMCU1xpW+h8JvXkYfU4u4EZOo2r2C0lXvo4tIxG8vRRBF5ECvojpyteG3l6J43YS2uRpr897kz34s6GyB3oS1cTfcmXuJv+FVir6bhuvIT9S9/zMsldn88vlERgwfzpYtW9i6dStTp07lhRde4NChQyQmJp7leH6d7DInIz78kfRiVXW/2mjYk30QdHqsDTsT0XsMgiiR/nL/wGhXnUO2Nu5GVL97AZBdVZSseh/nMbXoKLRVvxrqOtW4MvaSP/txwi69jujuN5Eaab6oehf3799PvXr1MBqNHDx4kB49erBkyRJWHnfx+HU9iB0yAVOdNjiPbqPom5dJGvcRkjX8jO0ULZ4CgkD0VePPWCZ7nGRNu5HYYRMxpTZF8Xup3LEUQ3w9ir55megBD58R+EDrzfvbUTT+cbi9fuW5RfuUuk8sUWo9tlhJe2yxYus8XM2DnPLP1nm40vCppYrOFnvGsuPHjyuKoijxbS5XRHOYIugMihQarRji6ynm+h2V5Hs/V2KueUIx1+94xnuj+o1X0h5brIR1HKoYU5oqyePnKom3v6sASmTfe5W0xxYrMYOfVNeX9IqgNyoIooIgKlFXP6ikBfZZCo06636VlpYqubm5yr333nvGchAUwRyqIEpn7lf/BxUpNEqJ6Dn6rO8TQ6IUwRiimBtcqmAwKxjMij6unoLOoCDqFECxNOqqmOq0VgSDRQFRfW/ws4STf+uMJ7ctiIo+ppYS1+MGJTomVtHpdEpERITSrVs3Zd26dWf9DqdNm6a0adNGMRgMys0331xj2bx585R6DRoqosGsiNZwRRceryDpFCkkSrE27aWE9xiliKbQM47REF9PsV163VmPHQRFF52ihHUYcvI4AsdiTGqsxI18VREM5jPfKwjKwIEDleLi4uD+de/eXTEajYrValWsVqvSoEGDv+pS/0s417l3u93KkCFDlLS0NPVasFiUOnXqKIKkU5D0Suqji5SQlleece3FXve8kvbYYiWkxRWKLiLx5DJJr0ghkUpo24FK7HXPK8bUZuq1Vr3cYFak0CjF1vUGJbLf+BrfiS4yWb0vjRZFH1NLEYyW4PcWFhamWK1WJS0tLbjv27dvV7p27aqYzWZFp9MpBoNBadasmbJ+/fq//wT/B9BGfP9gyhwBq51tarpUJwqIooCiqO4DtaKsDGuTzLVtz91AW60sUz3XeGoPYcW2RVRs/QbZUYZgMGNKbUZEj1HobGqVouLzUrz8bRyHNiLojNg6DiGs/TWA6hpfuu7/1OZ0gwVTrZZEXHYrUkhE8LPLN3+B8+g24ke+ek6JJY9PJrZha3QNu+EtL8RXmoPOFovj4AZ8Zfk15vR0YTHIHgdR/e7DV15AyXfTa2zLlNYCb2kOSWPeC4oBAOR9/hj6iEScJ3aRNO4jZFclJSvfw3ViV1BWTvH7MNduTXi3kZSt//wMMYLQDkOwtbicgjlP8PWcWfS/qt+vfnfz589HFEWWLl3KggULqKiowOPxYLPZKC8vV1srFGoKDAgCIa2uwr5/DYrfAz7vaVsVCOt0LRWb56lzmzoD5jqtcRzcRLBFxecJytmdjrFOWzzZB1A8rhqjfUEQsFgsDBo0iNWrV1NQUIAsyxgMBvR69RwuXryYHj16/Oox/1OoPvfLly/H6XQyc+ZMADweDz179mTbtm243W4SEhJ47bXXGffGLOyHfsTS8FKq9q7GEFsLT2E6osGC7CgltNVVRPa5g8rti/GU5FC1fSGCJZyI7jdiaXAphQtewhBbC0N8PUrXfIJsLwUg5aH5+CuLyZv1MLJDlQyMGTKBsnWf4s0/SkSfOwlteUVAAD4Da62W5Mx6mEGDBrF161Z0Oh0nTpygqKiISy65hOeff57HH3+cN998k9atW7Nr1y7uuecejh07RkRExK+cEY3T0QLfv4Q/qtRRrSzj9v31Vabn4tfSOE9/u49ZP6ajwFkDTrX6TdY7t+KvKKixLOmOj9CFx+FK30P+nCdqLDOmNCX+hpeDf+fPewpjQgPCu914xj78moDA6cE/uvMwHn7owd9MSU2fPp2PP/6YnTt3IghCUIZOURRVyT8w76r2Dv5eD3DU4CaIJ1taTl1UHQDPB1FCUGQURSE5ORmdTkd6ejp6vZ7Q0FCWL19OmzbnZ078T2PChAlkZWUFA181fr+f+Ph4ruh7FclX38u7b76KK30PnpyD6ly3qCNm8JP47aWULJuGuW5bYoc9A0DW9JuQvR4kq42wDoOxNOhE0TevoItMIrRVP3I/vjv4OamPfIsgSuTOehhP9gFEi42Iy0ZRsvI9FEVWjaYHPxlcX5H9ZLw6kGeffZZJkyYRHx/PiRMneOKJJ8jMzOS6667j0UcfZf/+/cH3NGjQgEcffZTbbrvtrz2Z/zEujuT+fwCdJFIr2krD+FBqRZ9/xVe4xcDoLrUx6/++r7pi+yJyZ44n/bVBFC2eQqLNxH296uPxeBg6dCi1atVCEARmfr2E/wsEvSCihKA3Bf9Zm/UCIPnOjwlpcQW6yCRAIKrfeNw5B8n+4A4KvnoWXXg8lqY9ES02ANxZP5Px+mAy3hhK2cY5RA94BG9JDplvDifzrREULJhE5lvDyfvsEXSh0aQ9uhBBUOfSMt4YGvxXvuUroq8aT+oDXxJ5+VjKf17PI1e1oG69erRt2xaj0cgtt9wCwKJFi2jSpAk6nY7777+fnTt3EhkZSVJSEhMmTKBv377BAEjATbumcs5v9YCeslyRzwx6gWM/76AHIPtJ7KT2Uubn51NaWkpsbCwej4fi4mI6dOjA1KlTz397/wL8ioAXiW9+PMj777+HrywPT+4voDMQ2mEwplotKV76FnJA7MCQ0AAAx+Ef8VeVoI+IQ3Y7KFkxg6y3RuApOE5oyyspXjYV0RoB1U4tfh/e4ix8JVkIRguKz42nMAPJGgFeD86jW8n56C7sBzcCkPnWCEC1NBo+fHhwf3/88UciIyN5+OGHOXToEFdffTUZGer8u6Io7Nu37288e/8NtKrOi4Bx3esx68f0v6W3EEAXEoXt0utwHt+B6PcyZ0wn9JKIxw9dunRh/PjxDBs2jBcW74f4JjXea23cNSjldjqG2NpYGnelbO1MPIXpQbFuQ2IDVYFlw2yiBz1OwezHCG0/CPeJ3SSMeguA4uXvILuqSBr3ESgKOR+OU/0Hz0LK/fPUVpHTEM2hhLYdqCrCHNrA5beMpnmrHcheD1arFYfDEdQVre7vKykpwev10q1bN95+++0zi3pOTUlWB8HTpeROrnDW/Q3iKP/15XDWNGjBoR2AqpSzbds21ckjgNVq5aGHHuKKK66gYcN/f+FFda+k3e1D5/fjK83Fby9DsobjryrBlNIU94ndyI4yyla9B4Ah+RIU2U/JinfQx9ZG0BkRjRbCu43ElNIU+77v8VeV4ik4Rkjrq7DvXYPidZH5xlBAUdt+di4Fn5vKnxZQ/T1am/QkpOllFHz5LIboVFLum03GqwO5/5EniQw1sWbNGgCysrLYsWMHX375JUOHDsXr9XL99dczduxYjh49isPh+B+dzX8vWuD7j1NdJfpnNQJ/D5aGlwLgzTtCr1RdsGTeYDAwfvx4AJw+BcXt53zEtCq2L8K+dzWewhNYG3dH0Blw/vIjtk7XUvHT/GCpuDGlKfow1TnbekkPKn/6hux3b8PvrEDx+zAmNUbQG3HnHAZJj+xx4sk7SvorA7Bdeh0hzXoHP7N80xeUb/7i5E4oaj9k8r2fIXsceOzlvPfMPQCIgoKAgNliQQDi4+PJycnB4/EgCAKVlZX07t0bi8Vyfifwr5x9OMvcn7c4C4Bt27YBkJqaSkJCAlu2bKGiQhUkv/POO1m9evUZ7/1fM336dGbOnMnevXsZPnw47733HnfeeSerVq0iK0s9rk8//ZT58+eTWVDK029+iD3nKL7KYnyVxbh1RhQBkFUBhsKvXzg58g5UFRd/+zLWpr1UYXcEvAXHQWeibM1MFL8HKTJZlfZTFOz7vkdxVZ58vyie7HU9DfueFYQ06YEptRnO4zsIjVTT7FdeM4whl3fBZlNH8GazmWuuuYbLL7+chQsXMn78eHbt2kVCQgK9e/cmOTn5LzzD/020wPcf5kKZtZ6L0wNSdP/7AVD8XkoXvQ45e/l6UwVrx46uURhRUuWmoqKCiq+eR5B0hLToQ3iPWwBwHN5M+sv9qbZKEiQditdFaPshGBLq4zqxW3VlAEpWzjg5P6Yz4K0somjF2wDkfaKW+kthMcTfPBnniV2UrphBwbevqYo0fp8q3WYJwxBX08wz+51RIAhYGnUh4rJRSBYbZes/x5W5H8liw3Vit9omofhBlJD96j44HT7QGcnMK8QfGPGdOoX+b3kyj4yMZPt2tTUiOjqaoqKiYFD8p5GYmMiECROChSw+n4+UlBRWrlzJXXfdRUlJCTt37iQnL5+nXnubyozDaqAD9PENCG3Zh9LvP0Yfm6amO1EQLOEYIlPwFhxDdqvfbeX2RSD78VerIPlcyIJCyCU9cOcfOynk7j0lzSxA7OAnKfji6bPvvBCYfjgtxa0XwO124w9cV82bNw+myLt3787q1auJiori/fffp1WrVjz44IN/+jxebGhzfP9RThTb/9KgBydTmiHNLw++phcFUiIsPHjTQK4ZNCho6XMq9zzzGorXTVS/e0m4bRrOIz9RtWsZlsZdSRzzPqmPfEvcyFeRAqlFwWAmvMtwRHMYxqTGGBLqA2rq09ywC5bG3UCWEQQR97EdgIAYFkN4z9twZ/1M4fxJ6GNqoSgyrkMbwO/FlNaCkJZX4K8sRghYHomWMOJvnkLSnZ+QcMubKB4HRYteRwk8yYcE5htFUwiCwYRki0M0WgFB1UAFBFFEDI2lxnzc2TjFRumfQvWP665du7jyyiux2WzY7aqCj9vt/l/u2jkZPHgwgwYNIioqClBTsw8//DCTJk3ip59+Ys+ePSiKwodfLCZx5Ksk3/sZ5tqtAfDmHcZvLwNAH5lERO/b1WpgWcadcyigXqSgj6kFkp7oIU8RN/SZ4GcLOiO66FTkwAjPVLs1hsRGJ3fO78WVcygw8tMFdXKDKDKl6z/HeWIXkjVc9cAEZkx5CavVik6nw+VyMXLkSBYsWMCuXbv46aefePbZZ+nUqRPPP/88KSkpXHHFFX/Z+f2volV1/gfx+GTavrjygqY3JVFVnTkbpT/Mgqpi4gc8wO1d63Bfr/roJZEJEyYwZcoUlixZUmPEF167KRW5J4gd/CSmtOZU7l5B1e7lJNz0Ro3tlm/+ksqdSzGltSD6qvFBZwpvSRaenENEXnE3pWs+Inbo0+R/8QwoCkljP0AKicC+bw1lG+cgez0oDrW8XK2glEkc9xEVm7/Ak3cUT8ExTGnNMSY2OqPp219VqhoBD3uWom9eIvmeWYgGM5W7l1O2bhayx6GOHBUZwWg9ab77WwiSGhf/SDXnX4ggCMERqk6nw+fzER4eTllZGQaD4X8e/E5Pa57aptCiRQsyMzOx2+2MGDGC2bNnn/F+QW9SC3/Oku49L87RJnLO10+uQM35WQF0evB5EC3hhDS9jIqfFpzz3d27d+e6667jhRdeoLCwEEVRMJlM9OvXj2nTpl1wZ5CLAS3V+S/i1278ESNGsG3bNtLT0xk16WMqXGfeDIrfS87H96B4nCTf9WnwdccvWyhb9ym+8gIMsbWI7HsvhujU4HJvWR6FK9/DnbUPRdQT3rIPCX1GBw05jRXZVB7fTdbkobw7O54OM2fStWvXsx6Dzy9TmXu8hnGsIbb2WVViFL8Pf2UxIU171nhdECVEUwievF+QzGEYU5qC7Ec0WtGFRQMQ0rw3JaveP5mCkvQYk5vgTt9N7sf3IAhi8EndlbEvWLlX84PU/9h/XoOlYWdEw0l5Lyk0CktqD6p2LQev82TQ0xkQRAnF8yumo4qfYL7tH0RISEhQjs3n853RhgH/WwPc09Oap5KSkkKtWrXYtWsXt99+O59//jler5e+ffvyw/oNKCYb4T1vw5TWnMIFL+HJP4Ig6gjrOJSytTOJve45zLVaBrdXtv5zHIc3gyjhLThBWKehmOu2I3/WQ6AzYkprRtywiWRMvhZz/fY4Dm5ANIYQ2ecOrI26AJD+xhDwukm84wP04fHq+SsvIHvGaMK7jqRs7UyiBzyMuVYLInrehk4UeOSKhozpVjP1Xs24ceP+mhN7EaIFvn8g5wpwsbGx6PV6DAYDn376KbfccktwJNWlSxdiY2N5//0P+OTpO5CsEYS27oetw5DgdjOnjkRxOwCFjDeGYkxqTGSfOyha9Dqhba7GeXQb7rwj5H50N6HtBhDRYxQoMgVzJ6gbkH2YJAHHziXYC3ax5sddHNy2geum7aFOWgp2u538/HzuvPNO3nzzTfx+P4qi4PF48Pl86HQ6juaVIbudiFYDiuxTxbYNZhSPE/vhzZhSmyEarXhyD1Ox9RsEUwi+qlKyP7gDX2kugqRHZ4tDF5VC1Z6VIEpqGbisfpbj6FbcWQeo3LUcpbplQNJjTGqE4lPL0xW3vWZ9pN+Hff86jAkNqNj6Le7sg6pbhSCAIODYv5aInrfhzj1C8bK31OIGUP8beNIXdEZ1+z7PeQmN/2aF5t+M1WqlquqkJmtcXByyLAdfC4mIpveUdZwoqkIniQgIKCj4/DK1okPOy4n8zzJ4sKpPu23btmDhSkiIalXl8XhQFAWfz8fUqVPp1q0bgwcPPlmQ4ymgePFkQtterQZz2Y/s91Hx41egyBQveZPwbjcS0qwXFdsXUbXve6KHTiT/o3EgiFRuW4hj/1oEaziKowLZ66H0h1koXieOn39Qi58CXo5BAvN9eZ/ejz4qhfiRr1K173uMyZfgPLoNQW882d6CmlW5tm3KX3b+NE6iBb5/IOd6sh00aBA5OTk0aNCAL744WXFYXS356quvYgm1YbnyfqTQaPLnPYUuNBrrJd3xluWheF3Yut1I1c4lwRFfxfZFmFKaoAuNJvLyMRgS6pM55Xqch7cgmW2I5lDVBkgQqdNnJD/Pe63Gvo547lmaNm3Kli1b2LJlC61bt6Z///707n2yQvKKK67gmWeeYeLEifTs2ApQkO1lFMxTJ/2jhzyFYDBTvnEuRQteUlOHBguSNRxDYgPK1s1EFx6PrzgbRXbhLUoPblsQdEH1E8VVSeGXz9bYP9EcBoKE4vPgyTmkvigZQFDtnFxHtyHoTfgriyic/2KgMRw1LYpASKu+OH/ZgrF2K/I+urvGtk9Nb6lB9S9C0p+i8HKWtNlvBlEhkI47LbUqGcDvwWwJISTEisfjwev1IggC5eXl2Gw2WvW6hk2LZ+MKS+FIgRoEfae1ZBwpqOK1FQeZvPJQINX999keVQfmCRMmcPz4cebMmUO3bt247bbbKCwsVFcSdeijU/GV5VLx41eI5jA17elxYm3Wm8qfFiB7XBQvmULZ+s9RfG7iR7xM7iy1rSb8slsJazdQTb3vXoGilOEtzsZfkoVojVBVWRRQXHbKN87BlNYcX2ke1d+L7Hbgzv2FklUf4DiyhdCWfSlb9ymiJSx4HDpR4PaudTT7ob8JrbjlH8jpE/bVVAe4lJQURPHMr+6RRx7Bo6g/cvqoZCz1O+LOOgBA6cr3EI0hCNKZzzqKohDauh+mlKZB7z19TCrurJ9xZx9EZ4vDU3iCgwum0717D/bu3QuoChjVfV+KojBw4EDuuecePv1UDao5OTkkJSWxZs0aJk6cCMDGnT9jTm5M5JV3k/bYYtIeW4ziKEcfnUr4pdcRc83jhLTqi7l2K3xleXiLMgnrMBRznbZYLumOIBmIvfZZbF1vwJjchJTx84i/abIa4HQGEu+ciWAJRwqPx1S7NfroVGR3JbrIRESz6gIh6PSIRiuuo9tAb0Ky2jA36HCyKVyWQZExJjXCcXADIU17Uvztq1RXmiIIGOLrgWREn3gJQsAg9y/jVFmzM4Lc+YwclVOCnkDiHR8hhsaASd3v4cOv46GHHgqmM8PCwli6ZiP17v6II4ZaAIS0uPJXG+P9Mnj8Cu+uPcrlU9aSXfYrqd4LiM/nw+Vy4ff7OX78OKIosnLlSg4cOMDbb78dXC+8+42k3Ps58bdOJ6RFH0BEDPTjCeYwku74AH1MLfxVJaDI5H/1PIrbjqVJD5yHNiI7K5DMochVqrGyYi9BF5GAIb4Bki0WfVJDQMFbnEX2B+PIn/N48LMjrrgTQ0warow9+CsKkJ1VGJMaqSnxQNYjKVwVedD4e9BGfP8hfH4ZX6AARVEUXJn7CW11JY5Dm1AUGUFvpHzTPBS3g/y5TxFx2SjMtVpStnYmrvQ9GJMbU/7jV+D34S3JwVK/A568o7gy9qCLTEa2l7B160+0a9eORYsW0bBhQ7xeL4WFhYSFhfHuu+8yadIkbrjhBpo3b054eDigpqFcLhdGo5HkCDMhTXtSuvUbzHXbAgIVW78htE3/YP+fO+8I7pzDGBIb4ck9jOPwJtzpu4PHWfDFMwimUCIvG0X2+2NrSJnlvHMLAH4H+Mvzg6knx741wXUUt/3knJzHgc/jwFd6irmuIoMo4Q5YM5Vv/uLk6C5QkOLJOwKAN+fnP//F/RGqJc/OoDp1dq6AqJAzo6a81ccffQSAyWTC5/Mx9p776NPncnyVJcF1Cr9WXT7SHlv8q7slA+klTvq+9QPL7uv2l9sevfDCCzz7bM1R/tKlSzEajbRt2zawU75gJkC0RgS1NAHK138GQNZbAaUUIeDoEXD1cOxfByhkTb3htCIWBXemKh2mi07DGF8fwefHU5SO4nYgWiNQnBXowuMRBVVXVTKH4S3OomLr/OB1VJ31mLf7wEXjkvFPQAt8/yGySp3Bn73yDbNBkbE07ErerAeIHTYRv6Mc2eOkZOlbmNKakf/F0yTdPoOoq+6nZOUM/FWlWJv0QAqJwG8vJaz9NRQvnYox+RIietxCWEItvryjKx0vSWPgwIHceKOqe1lQoAaeAQMGACBJErGxscGG7epy6+PHj1OrVi2aXT6UbaW55AZShyEt+hDSsm+NY/GV5mLrfD2e7J9R3HaS7v4/BFEia/rNmNKa4c76GUujLoS06EPFT99Quu5T9cck+MN0dvUTS7PLcexdeebJC6ilCEYrCGLNCs1TUpqWxt3wFBzHV5z5u76b8yJgLMxZR1YCushEFJ8Hf0VhzaCnM4LPHfivhxpBr/rHWtQF2jYE9W9BwBBfn75jn2TBk9cHV/f4ZHq+sYaku9r/qUOpcPkY+u5Gfnik51/6gz5x4kQmTpxIeno6derUISYmhrlz5zJ37ly2b9/OQ0+9wMStPqrKSylZ8S6yx4m18U2qOLuriqh+92FKaUrxd9Px28uwNOlByZI3sTa5DPu+1Vib9yby8jvwleaQP+dJEEQEQSBxzAyKFr6G8+g2fMWZOL0uogc8RNm6/8NSvyO+snyq9qwgstdt+AMPELZOw3Cl7wZFJvm+OUhGC8kRZuaO6XRR+SL+E9AC33+IaiFq++HNOI/8RPwNr+CvLMRXXkDe54+qK/l9yG4HFdsWIuhMuDL3Y23UJViJVrVvDZXbFxEzeAKSxYYhthaurAMYExsi6ERCrWb0ej1NmjShadOmJCcnc/nll7N+/XqWLFnCnj17ePTRR6mqqiI7O/usPnXD2qSQXTYa12W3nvNYLA06EdKiD2VrPia0zdXoQiIBEA0mfKV5pD74NQDe0hwqfppPVN978JZk4y3MwBCTit/jxJ2+B29RJqCoxrs+D/6KfHV+R5ERDWZkRzmixabO08DJgCdIiKHRCIqCaLHhLVCNYhWfh7jrnyf77VsQLDbCOwyhbMNstXpUlDCmNlcdELwu1Lk1zhKA1Xm5+JvfJH/O4ygeJzGDJ1C06HWS75pJzsf3YmnQkYiet1G5YwlVu1cgWWyY67YjrP0gSgMVuDEDHlbPQVkeOe/fQco9sxCNZ6rD5H/xDOY6bQhrO+CMZW/e0aPG35NXHiKrzHXO7+X3kFvh5tlF+3lhULMLsj2fz4fP58Pv9+P3+3G5XOh0OnQ6HZ988gmXXnopx48fJzMzk/feew+DwcBtI4Zgd7lBkIi4bBSlK2fgOrE7+DBTPeLSR6cSN3wS2R/cAYqM/ed1ANj3r0Pxe4nu/6CqsHJ0G1JEPJlvDgdRIrTjUMIvvQ77gfUUfDERxW0PTC8ohLbujz4yGV9lMYrPS+namUghkRgTGqA3WxnbtQ73X95AG+n9D9DO+L+IU+czTq2WhECDsc+D7HXj+HktscMmIoVGoY9JI/nOmSSOmkbiqGlE9b0XyRpO4qhpEGjcducdQZH92H/+geJlb2Gq1QpLg44AWJtchifnEM4Tu/D6fHz9f+8THR1NaGgoiqIwatQolixZQs+ePYmJieGtt95ixIgRJCQksGnTprMex/XtUs5LlUsyhSCFRp/7fJQXkD9nArbO1wdbHkSjBX10Kq5j21Xz3uq5rUD1nDtjn2o8K/uDbu6yQ5XlQtQR1vl6DAkNEC2hyPZSFL8XffTJSjvnLz+S/fYtgIDiceF3VgQVOAyJjXCf2Ini8yIYQwEFU4NLz7Ln6sEXfPE06I0giJSs+gB9TBqOX7bgryjEW5KtiiQrqqSYK3M/xtSm6ndySQ+cR37ClbkP2eOifP1nWBp2QjRaKPvxK7Lfu530VwdSuOgNqvavwZ25L1DGP4msd24l/eX+uNL30DYtgrQo9RysWbOGrt168MQ1bcl6p+YDid9eRuG3r5I1/SYyplxL3qyHcVcXCgG+qhIKvnqOrOk3kf5yf3xl+cFln23JIKuonFtvvZWwsDDi4+OZPHlyje07HA7uvPNOoqOjsdlsdOvW7azf9wsvvIDZbObll1/ms88+w2w288ILLwDw4osvsmHDBrKzs7npppsAOHToEFVVVSS07o1oMFO65mMAQltdRepD80l7bDEhrfqCpFcfHj4YhzGuDvE3TyHx9ncBiO7/AO7Mn8l8YyjOE7swpjQh8ba3Mddpg63z9bhP7CZr+k2Ufv8RisdJxOV3EDPoURBEqvasIHvGbZQsfQtP3i94cg7TZNxUXnxrBtuf7M0jVzbSgt7/CG3E9w/kXE+2p89nXHHFFTz55JM8//zzNGzYkPT0k9WOuR+OC9r2SCER+MoL8FUWIQR60ar2f4/irMSY3JjCr1/Ak3cExefBXK890QMeCW5HH5VM5JV3Ubx4MsVeF4s6tGXMmDE899xzTJs2jdq1a7Nx40Y+/PBD5s+fz/XXX0/Hjh154403aNq06VmPr9ox4uONx39TODukWW8qty/GXKcNSDpkrwtz3Xb4KovIn/MEoW36E9qqpjee4vfhd1Si+NyIZhuys1ytvkBECo1CNFnxFmbgL8tHMIWqLQg+NygyvrJ8/M4KZKddLXn3BMrVT0fSgc+tlsMH8GTtr94BRJMVWfZgiErGBYiWcMz12uM6vgN/ZRGCKRRDXF1cJ3YB4K8qQnZX4jy2HWNSI1zHdpA15Vr1o0KiiLx8LMb4egAYYtKIuuIuiha9geyswJTWkqiAG7jOYgtmOh0H1uPO2o8UEkXuzPEYYmsTffWDFH3zMoqjjK/HdSbkoUDwl2XqtelCxGW3Ur7pZMWw31lJzgd3IBitxN/yJpLFRtWeleTPfUoVdq4sxhBXB1OdNtg6DSNv1sOUb56HK2OvKv4cEkX7xanUDRdJT0/nwIED9OjRg4kTJyKKIo0bNyY0NJTIyEgOHDhAZGQku3ap5+T0nsEJTz0dLJI6lU2bNmEwGCgpKSE0NDT4+pYtW3C73Ux4ZSqTF28nd+k7+B1lRPYZC6hzt64Tu0ge93ENH8lqjMlNcKXvImmM6uCQN/sxwjqoLRWGhPq4jm0ndtjTiBYb9v1rKVn+NiFNemA0mVlz6DAVTh/ZpS7WLPuGDd99w5JFC0lOOjMDovH3oym3/AOZOHHiGRP21e0AtWrVqhHg4OTcWe3atUnPyKwhi2Rt0oOoK+/GU5hO0cLX8JXlIkgGDHG1Ce8xCmNA/itv9uO4M/cj6E6WUxtTmhB37bP4HeUUfDERoTwHk0FHo0aNeP7557n8clWqTFEUnnnmGWbOnElpaSnJyck88cQTwTnAs+HxyfR5cx2ZJU78gUtQkf0g+ynbMBt/ZTFRfe9BURRKv/8I+89rESQDitdF9MCH8eQcpnzTPDVtKfsRRBHF78dcpw3u7APIzoqzfOq5S/+tzfvgPLIlmPKsXlcKjQrM0SgYky/BnX8cvCcrFvWxtYN9fadv31y/A/qYWlRsmkfi2PdxZeylau/3eLJ/BkEk9cGvyZp+I7LbgSmtOXHXPY8i+8meMZqoK+/GmNwE+77VSGGxWOq1O+e5PJWgfmr+MXS2OCIuG4Xz2DYch39Edlao58vr4tZ7HuLjaa+rx2614vV68Xi8IIqgKIS2uZqInrdSsvxtPIXpaitIwPxWFxajGqe26IM7cz++sjwQRERLGHJlseo712s01ku64zqxm4J5T5GWVovDhw/RvHlzTpw4gd/vx2g0Bj5XndOMjo7G5XIRHp9CnVGvkuMQkUQBURCQFQW/XyEt2npGz+DYsWNxOBzMmjWrxrmYM2cOTzzxBAUFBbhFI6a0mmbJ6S/3B0kXrGQGsHW6Ftul6gOHr7KI4qVTcWf9jGSxEdZxKKGt1Lloxeeh5PuPcB7ahOx1oY9IJLz7TUQ2bM9tXWrX8GucOXMmH374IRs2bDiv71Djr0cLfP8xZqw7ypRVh3D7LuzXqhMFtj3Z+4L2GWWXObl6+gbKHV78ivK7jWiT7/iImKQUcr59g8KftyC7KoMN7n63A1NKE2IGPISvLJ/s6kpGQVT90gLFIcHGc0mnzsUpMoLBjCDpEc1hyG6HGkT9XoxpzZGsEUT1GUfmWyNUz0BBUDUdBREQCO9xCxWb5yG7qkgc+wFVe1dRsWkecTe9jrcwncqdy/AVZYCkV9VjvC4MsbXRRacQ1XssZes/w5P7C/E3qv2SiiKT9dYNJN7+LpI1/DfPqePQJhAEyjbORXE7SLrjAxyHNlG5fw2ezJ8xJtTDfWJnMFMA4PV6OXrsOJe/uwN33hGKlryJPiIRfXQqnrxfECQdnryjGGJrE3/jaxQteRP73lUIehNRV41HMJgp/OIZdBEJalFS15FUbltI8j2zKF76FvZ93xMRm8CD997F8uXL2b9/P4mJiezevZsHH3yQN998E0mS0JksyOYIwlr0wdqqX42HsFPRiQKSKDC6S+3z7hl8bflB3vvhKH+lH7MkCKRGmllxf3cthfkPR0t1/se4vl0KU1Yd5kIrg9xyaa0L3lybFG5m0d1duOHDH8mvcEHXG87Qy6wm+c6Pa/xt1kvEhxn5bHRHvumUypurDlCw9vOAU7oea61LkZ0VyC672iis06OPrkXMoEeQvR7yP70fRAlTWks8uYfRRSXjztgDCCheN4rPiyJI4HEQM+QpCr94Gm9xFp68o2RNvwkUGVunYVTtXYVki8VbcAJLo86Etb2assBcUt6sh4PSZfn/93BQCQZFIe76SRjj65D93u3qdgtP4Dy0GXOdNsSc4sqNoqD43Pgri88r8FW3hJT/tCCg0qO+5s4/isFewNWdL2HOiZ013pOWlkbHbpehxAZSxgoggOPAD4RfNoqKTfMCIgYCstuB47A6d6sLj8PaqAv2Az+ApMdXrjaMWxpcSvn6z3Ac3YYnMBp2+gU+++wzJk+ezE033cShQ4cwmUx4vWqPojmxPrEjXsaeeYCCL5/FWLtNjbnVU/HJCj5Z4b0fjrF4by6zR3f8zarI+3o1YOHuHDJL/5r+QkkQsFn0fDa6oxb0/gVoge8/RvX82UcbjuG6QKM+m1nPo1c2+u0V/wBJ4WZWjO/OW6sP8+GG4wgCuH5l3s+sF5EVuK1L7aAYdub3n3Hk5RdqrFfdZ2fff7J/z5v3Czkzbkcwh4EgootOxZWxF8Vdhd9VGai+VALPDH4Uewno9BQtmKTaD1UF+toEEWNaCwwJ9fFtnIM+Og1QcBxcT8bB9eo6BjOyo+yUPVICI0r1r/y5T6otCKeQeMe7eEtz8FcWI5pDUbxuyn6YhWgKOWcQOB9EAZolhlFeYUEXED6wWq18++23DBw4EFmWWbzga7x8g+Lzgt+Dx12FsXZrqrYvVkv7f16HpzCdzCnXAQqCwYwxqbH6ndRpixBIg8rOChwHN6CLqU35hs+RLOF4AXdVOc+/NxWz2YwsyzRs2JCtW7fSvWcvftq8CSGhMSem34JosKCzxeI8vuM3j9knK6QXO7hq2nqW3NP1V4OfQScyd0wner2xFtcFHvad+hCmtSX8O9AC33+Q+3o1YMneXDKKHfzZW1wUYOFdnf/Sp1iDTuThKxpxe9c6zNuWyVfbszhRbEcvicH5Ha9fplaUlWFtkrm2bU1NyJdffJ6objecNdifLX0a1vqqYPpUcQf0KQO9c9UFQVnv3qYWoQhq5asg6bE2v5yoK+/GW5RJ0ZIpFM5/EUHSIwAx1zwRHG2dTvrL/Ukc+z76iEQEwL5+JsXbl6EIAsaUJkRePhZ9hFr04M77hZKV76mfrTNgTGxA7LXPnpH2M+rEYPvKbyErcDCvAleRncYetcrVaDTSs2dPtm7dSsuWLXll7kom3NgPfWwdfFUl4Peij0hEsdrQ2eKC5f/mxl1QvG48OYcQA8ovgsGMoDcFA33l9oVYm/bClbFHTRPrDCD7adv9Sk7s24rX66VJkyaIOgMH8gKi2KU5JN3xEb7SHHJn3h80xz0fyhxern9/M98/2ONXr9OkcDPfje9G78nrgkIPfwYB0EtCjYcwjX8HWuD7D2LQiXw+uiNXT99Amd3zh4OfKMCXd1waLHn/qwm3GBjbrS5ju9X93S4A5wr24b8jfVpj2biPzrlMH51Cws2Tz7n8dE5VO+lUN4rXHv2/YHr39KrWU3sqT0cSTiawzxX0qguE1EClqDJjooRXBo/Pz6qfVYUar9eLTqejTZs25JS7+HKfWgzkLTiGYApFcTup3PIVgiVM7WXzOACB6Kvux77ve1zHdwTTmJU7liA7ypDCYvBXFBLWcRhlaz9BssUTd8Mkct9XXQUKiorJyMjAbrdzyy23MHnlIRwFaoBTFAVB0iF7nIH9/n3ap1mlTqasPMwjv5GZqBVlZdX93ek79YffrCj+NSQB7uheV9PX/JeiFbf8h8kuc3LDhz+SV+783WlPm1nHwru6/G1B70JQXSzzZ4L9X83WJ3oRE2rC45PPO71r0ovIsoLZoKPS5f1Vc+GzjnA7XQuKrHq+neYB+MO2vdz19SF++fxZXBl7z9ieaLGheFw1A1FA3FowWkm5Zxa5sx7Cm3/s7DsknF1Bx2g0Yu05hpLl74DsRxedir88HykkCl95AZIljOS7/+/M49swh/INnxN7/QtBGyG/s5KS5e/gSt9FuMXAlVdcwbvvvktYmCoCfdlll7Fv3z7cbje1a9fmueeeo233Pgz/4Edyypy/a/Rn0onE20x8rqU1/9Voge8/zqk/sKD8arWngDrKG9W5No/+S5tr/0yw/6sZ0DyBBy5vWGP0WubwnFd6N7/CxeyfMn5zlHJ6S4gUFkPF5i9qrqQ3EdamH1V71iC7qxCNVqSwaCRzGIrfS2SfcRQueAljyiVEdBlJxbaFVO1ZiS4shphrnsCVuY/iJVPUgCYEhLv9XgRTCIaYWkGN01PbOwS9idSkeIYOGaJaVsnyyYAo6jDE1yV+xMsULXodxy8/IoVGI1lUbUudLY7IPuOQQiIpnP8CsrMSa9Ne2H9ei+ysQLSEo7PFEjvkKcZ1r8PqaY/SvHlzxo0bR7NmzejVqxfffvstOp2OLVu20KNHD6KioigtLaV2i064Lh2DzhJ6XnPLpxota/x70QLfRcLpP7A6UTUZlWUFn6z+wF7bNuWM+bN/I7832P9dN4Bz5xLK96zEXXCChNa9ePq1t7m+XQoWHTWMhD/9egndunUPBsgXX3mNZ1+ejM9RjmgwY2nUlYietyKI6vxj2Q+zcPzyI96iTLXXMBh4VERTaNB093Sk0Gj8jnLVSb46SJnDCG3Wm9C2Ayj69hU8RRlBH0f0JgxRKdg6DUMwWihaPAXZUY4g6VAUGfw+RIuN8O43obgdGOLrUfDVs4jAS89PpF27dowcORJXfAuKty8levCTiKYQCuY9o6rsCCLm+h1xHtpE9MCHsTTohP3nHyhdOQN9fD1s7QdRvGwaflcVcdc+hyG+LtnvjUEKiSRx1FtEhxgYFX6YhQsXoigKTqeTtLQ0PvtMFaOeO3cuw4cPZ8aMGdxwww2MGTMGl9fHFfe89LvnljX+vWiB7yLkf+mi/XdyvsG+QXwot87c+qspxAtBdY+d8/gOFK+HuAH3IwkCozomoz+0mo4d2jFs2DDmzJkTNBgGeH7293y6swifzorfWUnhgpew1GtHWPtrAKjauxrJYqNy5zKcx7bXsJ5SfG6MyU2I6HEzebMexlSnDd6iTPwVBcQNn4RoDSd/9uNEX6W2d5RvnIOn4DiiKZSkMTPwlRegi0wEBCp+/IqyH2apTezh8UT2GYcppQkAJev+D9fRbXiLM1UbJUmHIbYOET1uoWjxG9SpU4fRI4YyevRoGjZsSLkQgrfwBAmjpmKIq0Pxihk4DvxA7HXPYd/3PVW7lpP60NfB48icdqMqtXfrNDKmXIshrh7xIyYBULnrO0q+e5ukcR8hGC3U2/UeKSnJuFwuLrnkEo4cOUJZWRmrVq3C7XYTHx9PdnY2oihy9OhRGjduTHFxMaGhoRfNvXGxoxW3XIToJJFa0f+eubs/yu8plvn+wR4MmL6eCpf/V7b45zjVdsnvLcIvgx+FDzdlkhzRguFN2yAF9FNPZV2+hE9X/X0pCIKA9xQbJdnjoHL7Ijz5R9HH1CLx1mkA+J0VZE0dibc4i7xZqqC1Mb4+tk7XUvTNy9gPbsC+73sU2UfxsqkYk5sS0qIPit9H+aYvEHQG9FHJuDL2kj/7cRB1oMgkjnmfqn2ryJ/zBILBguKqxFSvPb6yPGIGPYohvgFFC1/FU3CM/DlPgCBSNzmODz/8kB07dmANtVF0/CgAeQGzV8XnQR9XB2N8Pez7vufUcXi1iIC5TsBmyO9DFx4fXG6u2w4Egex3VZGCpM5d2Lx5M2vWrOHDDz8EYPHixXi9Xrp27Up0dHTQz7Ju3boYDAYOHz5MmzZtLpp742JHC3waFwW/9YNWK8rKtif78Mp3B/hk04m/fPRXjf3ndZRtnMPxikLqvBRJiFjTkmjixGdZ/exEwjoOo3LHYrUhXmdAKskhY/8wpJAoTLVaYrv0OkrXfAKo7ROC3ojiV6s7DfH18OQfRbaXYmnYmYqtC/A7yqja9z0IIrYOQ7Af2ojj8CacR38CQRXgzvnobmydh1O0SJU2Q/YR0qIPutBIrA0upXLrQiyNOlO1Ywm+khx0EYlY6ndEkf34yvJQvG4MqS3w5B5k1YoVDLi6PwsWLMBgMiPZ4vCX55M45j2Kl07FdWInMUOeAUAXkYDi92H/eR2Whp0p/OZlVVQ88FCgKAqiwRg8R0XfvoIg6Ym55nGMKU3IX/QUoWYzycnJNc6lXq/HarVy/PhxFi5cGLTRstlsVFaePRWs8d9EC3waGgEMOpGn+jfhnp71mbctky+3ZXK8yI4kCQiB2UCfXyHcYkAQoNzpDc4H2d2+3z1X6Dy+k9K1M4kZ+CiGxAb4q0oo+PR+fH61yOLo0aPM/eILpJBITLVaENHjZrwl2RQvnUp495swJjfGk/sLBfOeRpAkfBWFQbf20PbXULn1WxSPH9exbcHPzJ15H4LeCAjgVe2HyjfNU/VdFT+K14cYGo3iceEtzaXom5dUObeAA4U7+yCZb40ARUZ226nauQwAX4nalpD+cn+1by/QF+nJUA2EfcD8+fMZP348eVV+5n44DcFgxn54M66MPSCI5H4wNiAWrp7JokVvICx/R91xUcK+fy2OX34Ev5eqXcuRQqKwdRyKJ/8YCiBaw/GV5uJzOinMObtfYkhICB6Ph6NHjwZfq6ioqCFurfHfRwt8Ghqncb4p0upl76w9whfbz7/hupryDZ9j6zwcY5Lae6YLjUYWRJ6Z+gmPPfoIO3bsoEOXbpBTBIDi91K27lM8xZnkf/4occMnYUprjjGlCbKzCkFnQJF9oChUbFsIHiemeu1xHfkJKSQSf0B5RgkEJUFvRqkW3PZ7Ec1hmOt1wB4w6hWtNuTyAkx12uD6ZQsA3qIMAIypLXBn7EYwmAKybKeUCfk8J9sYRCmogQqwd+9edu7aDQhItli14lSRsXUZSeX2RcQOfxF31gEqtnyNZA4jcfTb+Oyl5H4ynojLRmFOa0H2+2PQx9YmtPVVAOhj0vDkHEYKjca+dzWVudmIokB8fDwVFRX4fD727dvH1q1bURSFY8eO0b17dwCOHTuG2+2mQYMGv/v70/j3ogU+DQ1g+vTpzJw5k7179zJ8+HBmzpwJgOz38dAdNwcrLtesWRMsPNFJIu9OfpnXXnkJ4RRHjITbpqM/ZQ4K1AKU4iVTiOx7D6Cm69y5v+CrKqVk2TQQBEJb9UVRFA6UKgxs0YodO3awddNG/H4fBV88o/bgCaJqLSUIFC19C7+9LCB9JoCoLlPcDgS/HwVwHdkKEAx6gs5A7PXPUzB3wsmgB+jj6mBKvgRHIMAByOWqKHh10ENvCowSBdyBkVy1FqkuJg1f4YmTB1xdM2exgcsBPnV0uWZNQEJO0uEvyyek+eV4Co4jSBKm1KaYEhviK8pENFpVT0K3g4rNX6K3xRLSRD3vosGMJ+8InvyjGOLqIVnDEUMiyP1gHKDQtUsXJk16kTp16vD444/z7bffcuTIEWJiYkhOTsZgMGC327Hb7Tz99NMMHjxYG/FdZGhVnRoaqGk4URRZvnw5TqczGPj2799Py5Ytueyyy9i7dy9z5swhJyeHxx9/nKKiIqyRcditicRc8zgAvrJ8ile8gyf7IOj0WBt2JqzLCPI/exQEAVPtljh+Xq9KeSkyoimUsI5DKd+6EL0tGk/+sUDBSAXRUVFc0rwV6zdsAEEMuMMLgT1WQNCBoKCPSsaQ0hT7ru9AUTCmNsdXnqf6CbodJ13lAdEagS4sBk/uLwTVqKtHaoIEil8Nnh4ngs6IqW47nIdUOx3RYkN2VhAz5GnKNs3FV3AcxeeDs8kF6I3gPVN9RRCqK2tPeY+kQxAkBL2R+BtfQ2eLI+fju/GV5iLojZhrtyHy8rE1RLrt+9dSuu7TGn6EkjmUKKuB7RMuD643ceJEjhw5EmxnAJg9ezaPPfYYxcXF9O7dm08++YTIyMjzu1A0/hNogU9D4xQmTJhAVlZWMPD16dMn2Au2du1ann/+ee69916WLFlC69atianbDK/LTvKdamFJ/hfPIFnCibryLmSXnfx5ExAMZkKaXEbZ5q+QKwtrfqAgENHnTkpXvBtMB1bTrVs3fvxxCx5vIHUoywh6I6GtrqLq57VIIZH4ijMx122Po1ocuxpJhy4iGSQdvvwj5zxeMTRG7fELzPcBWJr2xrFvFWftchREQlpeiePwZmR7GSFtrqZq+8KT2wuLRa4sUoOUohDS6krKN5xUkhEEkeuvv46FS75DTrgE17FtJN89C0Gnp/T7j6ncvggEESkshrjhL54xcv4t7u9Vn/t6a2lLjV9Ha1DR0DgHc+fOJTw8nF69egVfW7VqFVdffTXdunXDZLagS26Kv6KQjCnXkfPhnXjyj2Jt3AVBZ0AKiUAfUxtfSQ4hrfqiC40CIOXBr0h7bLGqThIWi7+iACk0mtB2gxB0RvSxtRHNYWzbtg2PJ1DsIcvB+TLF50Z2O/AVZ6H4fGrQE0RMddqCpEe0RqCPTAIUfOUFgICgNwEgGC01jlGuLAzOMVajBj0ARW1hCCDozQg6A1W7liHbSwGlRtCTwmJUBwtFRgqLwdb9Jip3rUDQGUHSo09sxPjHn6Zu3bqYjTp8ZblYGlyKaLRQtnEunrxfSLpzJqkPLyC883Dy5zyJfEpA/i0kAW6+tNZ5r69x8aIFPg2Ns1BRUcHTTz/N5Mk1xahPnDhBixYt1P8vthPauh+Czkjcdc8ReeU9KF4P5Zu/RPa68JYX4Dy8ibD21yAIIoKkw5DQAPueVSiyH1Otlvgri5BCo1EUGXf2QQSjhYgeo0gYNZWmLVrVmHuyNrscRZSo3LEUvC6k0CjCOlxDaIchoMhq9abfi2wvxVteqLq2uysBBSUQQKo9+k7Fnb7n5B+SHkNKM0Cd90P2qS+HxyGaQ9TmeMnAyZTrqQikPrwARAlPziFKlr6FXFWM4vdgTGmCryidT2ZMY9KkSVSUl+PNPxbsR/TmH8PSqCu6sGgEUSKkeW9kVxXeorNXZ575yTCmW11NWUXjvNCKWzQ0zsJTTz3FbbfddkYvmNPpxGazAZBR4sQQnYposqJ43ZjSmhPS/HKq9q4ic7IqDK0LTyCs49Dg+w0JDSjbOJeSVe+r83EpTShb8wmKz4OhQUfMddpQ8NWzoCgUGgz06N6NFStWoItKJazdAMK7DCf77ZsB8JVkU7FlPoLOQFiHIVTtXYXsdqgtDX4vFVu+RrRGgOxHtNgQdUY1KOUdUeXBAlWXYR2GnNTz9HvxZKpi1UHhaZ2BpLEfonic5M99El1YDI7DPxLZ506sTXuS+cYQQEB2VpA55Vq1CEfSIxot6CIS8eQcJLL3WCRTCJP7p3Ltld3p27cvqWm12BLenXwPGBLq4zi0Eesl3RAtNuz714LsQx+RcF7fV3K4iQcu11KcGueHFvg0NE6jpKSErVu3snPnzjOWmc1mKioqAn+p81+yx4lgtKAosurIHhJJ4qipFMx/AdeJXWRMHopoMCM7KnFn7sNcrz0xQybgK8mh4KtnCes0jKpdyzHE1qbix69IuHUaOlssdfb/H+vWLAcEQuu3xRCdiuLzEj3gEYoWv6Ea4RZnkXzfHEpXf4jsKD+5o4F+vmrz3OAySQ+mEKg2yZX9NUSsQ9oNQnZW4ti3+pRt+ch4fXAg5eoLFMZAyeoPKVn5XqDS1IIhoR7udDVoinojIc164zy2HdGkypPp0poz8503adWqFeHh4YSFhjD//ivpN3U9Sseh+B3l5H58L7LXhT4ikZhrngh6/v0aNrOeuWMv1YSjNc4bLfBpaAA+nw+fz4ff7ycnJ4cTJ06QmpoKQFVVFX6/H7/fT5cuXdixYweKopAaaaFy5zIUnwddeAKu4ztR3HZCu9+MoNMTM+BhHIc3U/7jV8SPeJm82Y+ieFxE938QQRDRRSZirt1arQBFwZN7BHOdtjgOrKd84xxOTfJV7FuLtd1gcmaOR65U+/rU90HFlvlq83qgGEXQm1AUJeCYYCXhpjdwHtlK+ca5yLIPwefBkNoMT94RInqMourntUG7oqheowFI37da3Z4gENZhCJXbFwXTpYLRSniPWwhp0oPK3SsoW/0BirsKd84hJFsM/vICInqPwdrkMmSPi6qdSyhaMhnJaKXTVX1YsGABaWlpwWNbem9XRnywGd0V4/D3GXfe35lOFEgON/H57Z00iyCN34VW1amhgVr2/uyzz9Z47cEHH+Shhx6iYcOGp4zyVObNm8cVV/YlKqUe/qoSBEmHFBqN7CwnrP1gwjoMRvE4KVryJoLeSMyAh8n99H48BSeIHTYRU1pz7PvXUrz4jRrbFXQGEka/g84Wx3s99Fx1VT9uu+029uVW8uPyBQh6E5bGXQGRqh2LaxReGhLqEzPgEXThcfjKC8h+91aQ9AiipDa2y36i+j+ApW478j5/DG9JdjDgGZMvIfqq+9GFxwGqlFrx8ncwxKQRP/LV4P55izIpmP8ivtLsgC2RiD4yicgr7sKU2hRFUShf/zlV+1Yju6qQQqOwdbqWkKY9qRNt5fsHe5z1/Fc7anyw/hh+RcH/K+5LOhFEQWBMt7qaRZDGH0ILfBoav8HpvWCn9oHpU1sQesW9SGa1CMWTf4ySVe/jLTgOooQprXmgBy0CAHtgNOerKEQ0WrBe0oPwHjcjCGKNoKG4qmhQJ40nnniCG2+8EY9PJrldb4oPbkPxe9Uq0Nb9CGs74H92Xn4Pkijw6BUNGdOt7q+ud6qjxvGiKnSSiICAgoLPL1M7OkSzCNL402iBT0PjT/DmqkO8ufrcfXJ/lPt71+e+XjWLNaod5ssdXvz/stvWqBPZ8niv3xWsNIsgjb8K7SrS0PgT3HJpbSTxbKX9fxxJFLi5U60zXk8KN7Po7i6kRJox6/89t65JJ3J71zq/e4RW7ajRMD6UWtFWLehpXDC0K0lD408QbjFwe5faZ+1q+yMIwNhfCRJJ4WZWjO/OrZ1rY9SJmP7hAVAUIMFm4r5e9f/Xu6KhEURLdWpo/Ek8Ppmek9eSVer87ZV/g5QIM98/2OO8CjZOd5ivtkjyyTIu769Uh/xNiIL6YLDo7i5a1aXGPwot8GloXACyy5xcNW09ZQ7vH95GuEXPknu6/qEgcfp8mCDCTR//RHapE9/f5ap7Cma9RHyYkc9Gd9SCnsY/Di3waWhcILLLnIz48MffHWx0okByhJnPL3CQqG4R+HDDcfyy8qv7JAogKyCJ/GorwW9h1ovICtzetY7WaqDxj0ULfBoaF5DfE2x0ooAkCn95kDg9JSqJAqIgICsKflmhVpSVYW2SuaJJPN/tzzsjdSorCl6/TEqEhbQoC+nFDjJLHWcsr96O1mqg8U9HC3waGn8B5xts/u4gcb4tAr+1ntZqoPFvRgt8Ghp/MVqQ0ND4Z6EFPg0NDQ2NiwrtsVNDQ0ND46JCC3waGhoaGhcVWuDT0NDQ0Lio0AKfhoaGhsZFhRb4NDQ0NDQuKrTAp6GhoaFxUaEFPg0NDQ2Niwot8GloaGhoXFRogU9DQ0ND46JCC3waGhoaGhcVWuDT0NDQ0Lio0AKfhoaGhsZFhRb4NDQ0NDQuKrTAp6GhoaFxUaEFPg0NDQ2Niwot8GloaGhoXFRogU9DQ0ND46JCC3waGhoaGhcVWuDT0NDQ0Lio0AKfhoaGhsZFhRb4NDQ0NDQuKrTAp6GhoaFxUaEFPg0NDQ2Niwot8GloaGhoXFRogU9DQ0ND46JCC3waGhoaGhcVWuDT0NDQ0Lio0AKfhoaGhsZFxf8Dg8gcJ9VPHfMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "import pandas as pd\n",
    "\n",
    "edgelist = pd.read_csv(\"cora.cites\", sep='\\t', header=None, names=[\"target\", \"source\"])\n",
    "G = nx.from_pandas_edgelist(edgelist)\n",
    "draw_graph(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "** Sampled 527 positive and 527 negative edges. **\n"
     ]
    }
   ],
   "source": [
    "from stellargraph.data import EdgeSplitter\n",
    "\n",
    "edgeSplitter = EdgeSplitter(G)\n",
    "graph_test, samples_test, labels_test = edgeSplitter.train_test_split(\n",
    "    p=0.1, method=\"global\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "** Sampled 475 positive and 475 negative edges. **\n"
     ]
    }
   ],
   "source": [
    "edgeSplitter = EdgeSplitter(graph_test, G)\n",
    "graph_train, samples_train, labels_train = edgeSplitter.train_test_split(\n",
    "    p=0.1, method=\"global\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Computing transition probabilities: 100%|██████████| 2708/2708 [00:00<00:00, 4284.35it/s]\n",
      "Generating walks (CPU: 1): 100%|██████████| 10/10 [01:24<00:00,  8.43s/it]\n"
     ]
    }
   ],
   "source": [
    "from node2vec import Node2Vec\n",
    "from node2vec.edges import HadamardEmbedder\n",
    "\n",
    "node2vec = Node2Vec(graph_train)\n",
    "model = node2vec.fit()\n",
    "edges_embs = HadamardEmbedder(keyed_vectors=model.wv)\n",
    "train_embeddings = [edges_embs[str(x[0]),str(x[1])] for x in samples_train]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_embeddings = [edges_embs[str(x[0]),str(x[1])] for x in samples_test]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "rf = RandomForestClassifier(n_estimators=1000)\n",
    "rf.fit(train_embeddings, labels_train);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Precision: 0.8557114228456913\n",
      "Recall: 0.8102466793168881\n",
      "F1-Score: 0.8323586744639375\n"
     ]
    }
   ],
   "source": [
    "from sklearn import metrics\n",
    "\n",
    "y_pred = rf.predict(test_embeddings)\n",
    "\n",
    "print('Precision:', metrics.precision_score(labels_test, y_pred))\n",
    "print('Recall:', metrics.recall_score(labels_test, y_pred))\n",
    "print('F1-Score:', metrics.f1_score(labels_test, y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def draw_graph(G, node_names={}, node_size=500):\n",
    "    pos_nodes = nx.spring_layout(G)\n",
    "    nx.draw(G, pos_nodes, with_labels=True, node_size=node_size, edge_color='gray', arrowsize=30)\n",
    "    \n",
    "    pos_attrs = {}\n",
    "    for node, coords in pos_nodes.items():\n",
    "        pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "        \n",
    "    #nx.draw_networkx_labels(G, pos_attrs, font_family='serif', font_size=20)\n",
    "    \n",
    "    plt.axis('off')\n",
    "    axis = plt.gca()\n",
    "    axis.set_xlim([1.2*x for x in axis.get_xlim()])\n",
    "    axis.set_ylim([1.2*y for y in axis.get_ylim()])\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
